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Finding the Third Proportional to 272,874 and 574,024.50

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Solution

The third proportional to 272,874 and 574,024.50 is: 1,207,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874 : 574,024.50 = 574,024.50 : x
  2. Step 2: Convert to fraction form
    272,874/574,024.50 = 574,024.50/x
  3. Step 3: Cross multiply
    272,874x = 574,024.50 × 574,024.50
  4. Step 4: Simplify right side
    272,874x = 329,504,126,600.25
  5. Step 5: Solve for x
    x = 329,504,126,600.25/272,874
  6. Step 6: Final answer
    x = 1,207,532.15

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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.