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Finding the Third Proportional to 498,100 and 752,334

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Solution

The third proportional to 498,100 and 752,334 is: 1,136,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,100 : 752,334 = 752,334 : x
  2. Step 2: Convert to fraction form
    498,100/752,334 = 752,334/x
  3. Step 3: Cross multiply
    498,100x = 752,334 × 752,334
  4. Step 4: Simplify right side
    498,100x = 566,006,447,556
  5. Step 5: Solve for x
    x = 566,006,447,556/498,100
  6. Step 6: Final answer
    x = 1,136,330.95

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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.