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Finding the Third Proportional to 495,240.75 and 787,789.13

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Solution

The third proportional to 495,240.75 and 787,789.13 is: 1,253,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,240.75 : 787,789.13 = 787,789.13 : x
  2. Step 2: Convert to fraction form
    495,240.75/787,789.13 = 787,789.13/x
  3. Step 3: Cross multiply
    495,240.75x = 787,789.13 × 787,789.13
  4. Step 4: Simplify right side
    495,240.75x = 620,611,705,468.27
  5. Step 5: Solve for x
    x = 620,611,705,468.27/495,240.75
  6. Step 6: Final answer
    x = 1,253,151.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.