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Finding the Third Proportional to 435,554 and 659,892

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Solution

The third proportional to 435,554 and 659,892 is: 999,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,554 : 659,892 = 659,892 : x
  2. Step 2: Convert to fraction form
    435,554/659,892 = 659,892/x
  3. Step 3: Cross multiply
    435,554x = 659,892 × 659,892
  4. Step 4: Simplify right side
    435,554x = 435,457,451,664
  5. Step 5: Solve for x
    x = 435,457,451,664/435,554
  6. Step 6: Final answer
    x = 999,778.33

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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.