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Finding the Third Proportional to 240,065.88 and 524,425.25

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Solution

The third proportional to 240,065.88 and 524,425.25 is: 1,145,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,065.88 : 524,425.25 = 524,425.25 : x
  2. Step 2: Convert to fraction form
    240,065.88/524,425.25 = 524,425.25/x
  3. Step 3: Cross multiply
    240,065.88x = 524,425.25 × 524,425.25
  4. Step 4: Simplify right side
    240,065.88x = 275,021,842,837.56
  5. Step 5: Solve for x
    x = 275,021,842,837.56/240,065.88
  6. Step 6: Final answer
    x = 1,145,609.90

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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.