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Finding the Third Proportional to 348,376 and 527,381

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Solution

The third proportional to 348,376 and 527,381 is: 798,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,376 : 527,381 = 527,381 : x
  2. Step 2: Convert to fraction form
    348,376/527,381 = 527,381/x
  3. Step 3: Cross multiply
    348,376x = 527,381 × 527,381
  4. Step 4: Simplify right side
    348,376x = 278,130,719,161
  5. Step 5: Solve for x
    x = 278,130,719,161/348,376
  6. Step 6: Final answer
    x = 798,363.60

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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.