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Finding the Third Proportional to 267,171 and 562,006.50

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Solution

The third proportional to 267,171 and 562,006.50 is: 1,182,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,171 : 562,006.50 = 562,006.50 : x
  2. Step 2: Convert to fraction form
    267,171/562,006.50 = 562,006.50/x
  3. Step 3: Cross multiply
    267,171x = 562,006.50 × 562,006.50
  4. Step 4: Simplify right side
    267,171x = 315,851,306,042.25
  5. Step 5: Solve for x
    x = 315,851,306,042.25/267,171
  6. Step 6: Final answer
    x = 1,182,206.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.