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Finding the Third Proportional to 332,292 and 522,246

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Solution

The third proportional to 332,292 and 522,246 is: 820,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,292 : 522,246 = 522,246 : x
  2. Step 2: Convert to fraction form
    332,292/522,246 = 522,246/x
  3. Step 3: Cross multiply
    332,292x = 522,246 × 522,246
  4. Step 4: Simplify right side
    332,292x = 272,740,884,516
  5. Step 5: Solve for x
    x = 272,740,884,516/332,292
  6. Step 6: Final answer
    x = 820,786.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.