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Finding the Third Proportional to 247,114.13 and 539,540.63

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Solution

The third proportional to 247,114.13 and 539,540.63 is: 1,178,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,114.13 : 539,540.63 = 539,540.63 : x
  2. Step 2: Convert to fraction form
    247,114.13/539,540.63 = 539,540.63/x
  3. Step 3: Cross multiply
    247,114.13x = 539,540.63 × 539,540.63
  4. Step 4: Simplify right side
    247,114.13x = 291,104,086,025.39
  5. Step 5: Solve for x
    x = 291,104,086,025.39/247,114.13
  6. Step 6: Final answer
    x = 1,178,014.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.