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Finding the Third Proportional to 242,661.96 and 522,575.53

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Solution

The third proportional to 242,661.96 and 522,575.53 is: 1,125,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,661.96 : 522,575.53 = 522,575.53 : x
  2. Step 2: Convert to fraction form
    242,661.96/522,575.53 = 522,575.53/x
  3. Step 3: Cross multiply
    242,661.96x = 522,575.53 × 522,575.53
  4. Step 4: Simplify right side
    242,661.96x = 273,085,188,923.20
  5. Step 5: Solve for x
    x = 273,085,188,923.20/242,661.96
  6. Step 6: Final answer
    x = 1,125,372.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.