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Finding the Third Proportional to 435,952 and 655,384

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Solution

The third proportional to 435,952 and 655,384 is: 985,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,952 : 655,384 = 655,384 : x
  2. Step 2: Convert to fraction form
    435,952/655,384 = 655,384/x
  3. Step 3: Cross multiply
    435,952x = 655,384 × 655,384
  4. Step 4: Simplify right side
    435,952x = 429,528,187,456
  5. Step 5: Solve for x
    x = 429,528,187,456/435,952
  6. Step 6: Final answer
    x = 985,264.86

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