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Finding the Third Proportional to 445,159.50 and 690,327

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Solution

The third proportional to 445,159.50 and 690,327 is: 1,070,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,159.50 : 690,327 = 690,327 : x
  2. Step 2: Convert to fraction form
    445,159.50/690,327 = 690,327/x
  3. Step 3: Cross multiply
    445,159.50x = 690,327 × 690,327
  4. Step 4: Simplify right side
    445,159.50x = 476,551,366,929
  5. Step 5: Solve for x
    x = 476,551,366,929/445,159.50
  6. Step 6: Final answer
    x = 1,070,518.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.