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Finding the Third Proportional to 731,569 and 970,963

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Solution

The third proportional to 731,569 and 970,963 is: 1,288,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,569 : 970,963 = 970,963 : x
  2. Step 2: Convert to fraction form
    731,569/970,963 = 970,963/x
  3. Step 3: Cross multiply
    731,569x = 970,963 × 970,963
  4. Step 4: Simplify right side
    731,569x = 942,769,147,369
  5. Step 5: Solve for x
    x = 942,769,147,369/731,569
  6. Step 6: Final answer
    x = 1,288,694.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.