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Finding the Third Proportional to 498,168 and 752,436

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Solution

The third proportional to 498,168 and 752,436 is: 1,136,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,168 : 752,436 = 752,436 : x
  2. Step 2: Convert to fraction form
    498,168/752,436 = 752,436/x
  3. Step 3: Cross multiply
    498,168x = 752,436 × 752,436
  4. Step 4: Simplify right side
    498,168x = 566,159,934,096
  5. Step 5: Solve for x
    x = 566,159,934,096/498,168
  6. Step 6: Final answer
    x = 1,136,483.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.