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Finding the Third Proportional to 242,358.75 and 533,560.50

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Solution

The third proportional to 242,358.75 and 533,560.50 is: 1,174,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358.75 : 533,560.50 = 533,560.50 : x
  2. Step 2: Convert to fraction form
    242,358.75/533,560.50 = 533,560.50/x
  3. Step 3: Cross multiply
    242,358.75x = 533,560.50 × 533,560.50
  4. Step 4: Simplify right side
    242,358.75x = 284,686,807,160.25
  5. Step 5: Solve for x
    x = 284,686,807,160.25/242,358.75
  6. Step 6: Final answer
    x = 1,174,650.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.