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Finding the Third Proportional to 272,882.25 and 574,040.25

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Solution

The third proportional to 272,882.25 and 574,040.25 is: 1,207,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,882.25 : 574,040.25 = 574,040.25 : x
  2. Step 2: Convert to fraction form
    272,882.25/574,040.25 = 574,040.25/x
  3. Step 3: Cross multiply
    272,882.25x = 574,040.25 × 574,040.25
  4. Step 4: Simplify right side
    272,882.25x = 329,522,208,620.06
  5. Step 5: Solve for x
    x = 329,522,208,620.06/272,882.25
  6. Step 6: Final answer
    x = 1,207,561.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.