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Finding the Third Proportional to 348,419 and 527,439

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Solution

The third proportional to 348,419 and 527,439 is: 798,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,419 : 527,439 = 527,439 : x
  2. Step 2: Convert to fraction form
    348,419/527,439 = 527,439/x
  3. Step 3: Cross multiply
    348,419x = 527,439 × 527,439
  4. Step 4: Simplify right side
    348,419x = 278,191,898,721
  5. Step 5: Solve for x
    x = 278,191,898,721/348,419
  6. Step 6: Final answer
    x = 798,440.67

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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.