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Finding the Third Proportional to 691,497 and 932,188.50

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Solution

The third proportional to 691,497 and 932,188.50 is: 1,256,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,497 : 932,188.50 = 932,188.50 : x
  2. Step 2: Convert to fraction form
    691,497/932,188.50 = 932,188.50/x
  3. Step 3: Cross multiply
    691,497x = 932,188.50 × 932,188.50
  4. Step 4: Simplify right side
    691,497x = 868,975,399,532.25
  5. Step 5: Solve for x
    x = 868,975,399,532.25/691,497
  6. Step 6: Final answer
    x = 1,256,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.