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Finding the Third Proportional to 228,025.13 and 527,856.75

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Solution

The third proportional to 228,025.13 and 527,856.75 is: 1,221,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,025.13 : 527,856.75 = 527,856.75 : x
  2. Step 2: Convert to fraction form
    228,025.13/527,856.75 = 527,856.75/x
  3. Step 3: Cross multiply
    228,025.13x = 527,856.75 × 527,856.75
  4. Step 4: Simplify right side
    228,025.13x = 278,632,748,520.56
  5. Step 5: Solve for x
    x = 278,632,748,520.56/228,025.13
  6. Step 6: Final answer
    x = 1,221,938.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.