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Finding the Third Proportional to 522,929.25 and 736,391.25

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Solution

The third proportional to 522,929.25 and 736,391.25 is: 1,036,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,929.25 : 736,391.25 = 736,391.25 : x
  2. Step 2: Convert to fraction form
    522,929.25/736,391.25 = 736,391.25/x
  3. Step 3: Cross multiply
    522,929.25x = 736,391.25 × 736,391.25
  4. Step 4: Simplify right side
    522,929.25x = 542,272,073,076.56
  5. Step 5: Solve for x
    x = 542,272,073,076.56/522,929.25
  6. Step 6: Final answer
    x = 1,036,989.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.