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Finding the Third Proportional to 435,348 and 659,592

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Solution

The third proportional to 435,348 and 659,592 is: 999,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,348 : 659,592 = 659,592 : x
  2. Step 2: Convert to fraction form
    435,348/659,592 = 659,592/x
  3. Step 3: Cross multiply
    435,348x = 659,592 × 659,592
  4. Step 4: Simplify right side
    435,348x = 435,061,606,464
  5. Step 5: Solve for x
    x = 435,061,606,464/435,348
  6. Step 6: Final answer
    x = 999,342.15

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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.