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Finding the Third Proportional to 376,092 and 587,020

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Solution

The third proportional to 376,092 and 587,020 is: 916,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,092 : 587,020 = 587,020 : x
  2. Step 2: Convert to fraction form
    376,092/587,020 = 587,020/x
  3. Step 3: Cross multiply
    376,092x = 587,020 × 587,020
  4. Step 4: Simplify right side
    376,092x = 344,592,480,400
  5. Step 5: Solve for x
    x = 344,592,480,400/376,092
  6. Step 6: Final answer
    x = 916,245.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.