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Finding the Third Proportional to 429,153.75 and 932,046.75

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Solution

The third proportional to 429,153.75 and 932,046.75 is: 2,024,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,153.75 : 932,046.75 = 932,046.75 : x
  2. Step 2: Convert to fraction form
    429,153.75/932,046.75 = 932,046.75/x
  3. Step 3: Cross multiply
    429,153.75x = 932,046.75 × 932,046.75
  4. Step 4: Simplify right side
    429,153.75x = 868,711,144,185.56
  5. Step 5: Solve for x
    x = 868,711,144,185.56/429,153.75
  6. Step 6: Final answer
    x = 2,024,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.