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Finding the Third Proportional to 469,387.50 and 706,269

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Solution

The third proportional to 469,387.50 and 706,269 is: 1,062,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,387.50 : 706,269 = 706,269 : x
  2. Step 2: Convert to fraction form
    469,387.50/706,269 = 706,269/x
  3. Step 3: Cross multiply
    469,387.50x = 706,269 × 706,269
  4. Step 4: Simplify right side
    469,387.50x = 498,815,900,361
  5. Step 5: Solve for x
    x = 498,815,900,361/469,387.50
  6. Step 6: Final answer
    x = 1,062,695.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.