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Finding the Third Proportional to 435,347 and 659,591

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Solution

The third proportional to 435,347 and 659,591 is: 999,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,347 : 659,591 = 659,591 : x
  2. Step 2: Convert to fraction form
    435,347/659,591 = 659,591/x
  3. Step 3: Cross multiply
    435,347x = 659,591 × 659,591
  4. Step 4: Simplify right side
    435,347x = 435,060,287,281
  5. Step 5: Solve for x
    x = 435,060,287,281/435,347
  6. Step 6: Final answer
    x = 999,341.42

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