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Finding the Third Proportional to 244,050.75 and 527,580.56

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Solution

The third proportional to 244,050.75 and 527,580.56 is: 1,140,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,050.75 : 527,580.56 = 527,580.56 : x
  2. Step 2: Convert to fraction form
    244,050.75/527,580.56 = 527,580.56/x
  3. Step 3: Cross multiply
    244,050.75x = 527,580.56 × 527,580.56
  4. Step 4: Simplify right side
    244,050.75x = 278,341,249,927.82
  5. Step 5: Solve for x
    x = 278,341,249,927.82/244,050.75
  6. Step 6: Final answer
    x = 1,140,505.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.