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Finding the Third Proportional to 516,982 and 757,450

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Solution

The third proportional to 516,982 and 757,450 is: 1,109,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,982 : 757,450 = 757,450 : x
  2. Step 2: Convert to fraction form
    516,982/757,450 = 757,450/x
  3. Step 3: Cross multiply
    516,982x = 757,450 × 757,450
  4. Step 4: Simplify right side
    516,982x = 573,730,502,500
  5. Step 5: Solve for x
    x = 573,730,502,500/516,982
  6. Step 6: Final answer
    x = 1,109,768.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.