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Finding the Third Proportional to 372,654 and 581,121

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Solution

The third proportional to 372,654 and 581,121 is: 906,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,654 : 581,121 = 581,121 : x
  2. Step 2: Convert to fraction form
    372,654/581,121 = 581,121/x
  3. Step 3: Cross multiply
    372,654x = 581,121 × 581,121
  4. Step 4: Simplify right side
    372,654x = 337,701,616,641
  5. Step 5: Solve for x
    x = 337,701,616,641/372,654
  6. Step 6: Final answer
    x = 906,206.87

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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.