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Finding the Third Proportional to 240,872 and 524,640.50

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Solution

The third proportional to 240,872 and 524,640.50 is: 1,142,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,872 : 524,640.50 = 524,640.50 : x
  2. Step 2: Convert to fraction form
    240,872/524,640.50 = 524,640.50/x
  3. Step 3: Cross multiply
    240,872x = 524,640.50 × 524,640.50
  4. Step 4: Simplify right side
    240,872x = 275,247,654,240.25
  5. Step 5: Solve for x
    x = 275,247,654,240.25/240,872
  6. Step 6: Final answer
    x = 1,142,713.37

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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.