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Finding the Third Proportional to 348,422 and 527,442

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Solution

The third proportional to 348,422 and 527,442 is: 798,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,422 : 527,442 = 527,442 : x
  2. Step 2: Convert to fraction form
    348,422/527,442 = 527,442/x
  3. Step 3: Cross multiply
    348,422x = 527,442 × 527,442
  4. Step 4: Simplify right side
    348,422x = 278,195,063,364
  5. Step 5: Solve for x
    x = 278,195,063,364/348,422
  6. Step 6: Final answer
    x = 798,442.87

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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.