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Finding the Third Proportional to 240,909.75 and 524,713.50

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Solution

The third proportional to 240,909.75 and 524,713.50 is: 1,142,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,909.75 : 524,713.50 = 524,713.50 : x
  2. Step 2: Convert to fraction form
    240,909.75/524,713.50 = 524,713.50/x
  3. Step 3: Cross multiply
    240,909.75x = 524,713.50 × 524,713.50
  4. Step 4: Simplify right side
    240,909.75x = 275,324,257,082.25
  5. Step 5: Solve for x
    x = 275,324,257,082.25/240,909.75
  6. Step 6: Final answer
    x = 1,142,852.28

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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.