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Finding the Third Proportional to 380,737 and 571,180

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Solution

The third proportional to 380,737 and 571,180 is: 856,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,737 : 571,180 = 571,180 : x
  2. Step 2: Convert to fraction form
    380,737/571,180 = 571,180/x
  3. Step 3: Cross multiply
    380,737x = 571,180 × 571,180
  4. Step 4: Simplify right side
    380,737x = 326,246,592,400
  5. Step 5: Solve for x
    x = 326,246,592,400/380,737
  6. Step 6: Final answer
    x = 856,881.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.