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Finding the Third Proportional to 435,729.38 and 627,577.88

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Solution

The third proportional to 435,729.38 and 627,577.88 is: 903,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,729.38 : 627,577.88 = 627,577.88 : x
  2. Step 2: Convert to fraction form
    435,729.38/627,577.88 = 627,577.88/x
  3. Step 3: Cross multiply
    435,729.38x = 627,577.88 × 627,577.88
  4. Step 4: Simplify right side
    435,729.38x = 393,853,989,189.52
  5. Step 5: Solve for x
    x = 393,853,989,189.52/435,729.38
  6. Step 6: Final answer
    x = 903,895.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.