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Finding the Third Proportional to 372,656 and 581,124

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Solution

The third proportional to 372,656 and 581,124 is: 906,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,656 : 581,124 = 581,124 : x
  2. Step 2: Convert to fraction form
    372,656/581,124 = 581,124/x
  3. Step 3: Cross multiply
    372,656x = 581,124 × 581,124
  4. Step 4: Simplify right side
    372,656x = 337,705,103,376
  5. Step 5: Solve for x
    x = 337,705,103,376/372,656
  6. Step 6: Final answer
    x = 906,211.37

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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.