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Finding the Third Proportional to 449,933,705.25 and 701,206,118.25

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Solution

The third proportional to 449,933,705.25 and 701,206,118.25 is: 1,092,805,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,933,705.25 : 701,206,118.25 = 701,206,118.25 : x
  2. Step 2: Convert to fraction form
    449,933,705.25/701,206,118.25 = 701,206,118.25/x
  3. Step 3: Cross multiply
    449,933,705.25x = 701,206,118.25 × 701,206,118.25
  4. Step 4: Simplify right side
    449,933,705.25x = 491,690,020,271,232,960
  5. Step 5: Solve for x
    x = 491,690,020,271,232,960/449,933,705.25
  6. Step 6: Final answer
    x = 1,092,805,483.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.