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Finding the Third Proportional to 535,287 and 726,630.75

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Solution

The third proportional to 535,287 and 726,630.75 is: 986,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,287 : 726,630.75 = 726,630.75 : x
  2. Step 2: Convert to fraction form
    535,287/726,630.75 = 726,630.75/x
  3. Step 3: Cross multiply
    535,287x = 726,630.75 × 726,630.75
  4. Step 4: Simplify right side
    535,287x = 527,992,246,845.56
  5. Step 5: Solve for x
    x = 527,992,246,845.56/535,287
  6. Step 6: Final answer
    x = 986,372.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.