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Finding the Third Proportional to 349,331 and 541,065

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Solution

The third proportional to 349,331 and 541,065 is: 838,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,331 : 541,065 = 541,065 : x
  2. Step 2: Convert to fraction form
    349,331/541,065 = 541,065/x
  3. Step 3: Cross multiply
    349,331x = 541,065 × 541,065
  4. Step 4: Simplify right side
    349,331x = 292,751,334,225
  5. Step 5: Solve for x
    x = 292,751,334,225/349,331
  6. Step 6: Final answer
    x = 838,034.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.