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Finding the Third Proportional to 250,113 and 547,660.50

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Solution

The third proportional to 250,113 and 547,660.50 is: 1,199,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,113 : 547,660.50 = 547,660.50 : x
  2. Step 2: Convert to fraction form
    250,113/547,660.50 = 547,660.50/x
  3. Step 3: Cross multiply
    250,113x = 547,660.50 × 547,660.50
  4. Step 4: Simplify right side
    250,113x = 299,932,023,260.25
  5. Step 5: Solve for x
    x = 299,932,023,260.25/250,113
  6. Step 6: Final answer
    x = 1,199,186.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.