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Finding the Third Proportional to 348,417 and 527,436

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Solution

The third proportional to 348,417 and 527,436 is: 798,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,417 : 527,436 = 527,436 : x
  2. Step 2: Convert to fraction form
    348,417/527,436 = 527,436/x
  3. Step 3: Cross multiply
    348,417x = 527,436 × 527,436
  4. Step 4: Simplify right side
    348,417x = 278,188,734,096
  5. Step 5: Solve for x
    x = 278,188,734,096/348,417
  6. Step 6: Final answer
    x = 798,436.17

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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.