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Finding the Third Proportional to 298,442 and 462,792

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Solution

The third proportional to 298,442 and 462,792 is: 717,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442 : 462,792 = 462,792 : x
  2. Step 2: Convert to fraction form
    298,442/462,792 = 462,792/x
  3. Step 3: Cross multiply
    298,442x = 462,792 × 462,792
  4. Step 4: Simplify right side
    298,442x = 214,176,435,264
  5. Step 5: Solve for x
    x = 214,176,435,264/298,442
  6. Step 6: Final answer
    x = 717,648.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.