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Finding the Third Proportional to 240,995.25 and 524,842.03

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Solution

The third proportional to 240,995.25 and 524,842.03 is: 1,143,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,995.25 : 524,842.03 = 524,842.03 : x
  2. Step 2: Convert to fraction form
    240,995.25/524,842.03 = 524,842.03/x
  3. Step 3: Cross multiply
    240,995.25x = 524,842.03 × 524,842.03
  4. Step 4: Simplify right side
    240,995.25x = 275,459,157,766.63
  5. Step 5: Solve for x
    x = 275,459,157,766.63/240,995.25
  6. Step 6: Final answer
    x = 1,143,006.59

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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.