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Finding the Third Proportional to 240,872.25 and 524,641.50

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Solution

The third proportional to 240,872.25 and 524,641.50 is: 1,142,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,872.25 : 524,641.50 = 524,641.50 : x
  2. Step 2: Convert to fraction form
    240,872.25/524,641.50 = 524,641.50/x
  3. Step 3: Cross multiply
    240,872.25x = 524,641.50 × 524,641.50
  4. Step 4: Simplify right side
    240,872.25x = 275,248,703,522.25
  5. Step 5: Solve for x
    x = 275,248,703,522.25/240,872.25
  6. Step 6: Final answer
    x = 1,142,716.54

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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.