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Finding the Third Proportional to 460,554 and 701,973

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Solution

The third proportional to 460,554 and 701,973 is: 1,069,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,554 : 701,973 = 701,973 : x
  2. Step 2: Convert to fraction form
    460,554/701,973 = 701,973/x
  3. Step 3: Cross multiply
    460,554x = 701,973 × 701,973
  4. Step 4: Simplify right side
    460,554x = 492,766,092,729
  5. Step 5: Solve for x
    x = 492,766,092,729/460,554
  6. Step 6: Final answer
    x = 1,069,942.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.