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Finding the Third Proportional to 349,231 and 517,300

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Solution

The third proportional to 349,231 and 517,300 is: 766,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,231 : 517,300 = 517,300 : x
  2. Step 2: Convert to fraction form
    349,231/517,300 = 517,300/x
  3. Step 3: Cross multiply
    349,231x = 517,300 × 517,300
  4. Step 4: Simplify right side
    349,231x = 267,599,290,000
  5. Step 5: Solve for x
    x = 267,599,290,000/349,231
  6. Step 6: Final answer
    x = 766,252.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.