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Finding the Third Proportional to 372,658 and 581,127

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Solution

The third proportional to 372,658 and 581,127 is: 906,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,658 : 581,127 = 581,127 : x
  2. Step 2: Convert to fraction form
    372,658/581,127 = 581,127/x
  3. Step 3: Cross multiply
    372,658x = 581,127 × 581,127
  4. Step 4: Simplify right side
    372,658x = 337,708,590,129
  5. Step 5: Solve for x
    x = 337,708,590,129/372,658
  6. Step 6: Final answer
    x = 906,215.86

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