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Finding the Third Proportional to 265,250 and 576,670

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Solution

The third proportional to 265,250 and 576,670 is: 1,253,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,250 : 576,670 = 576,670 : x
  2. Step 2: Convert to fraction form
    265,250/576,670 = 576,670/x
  3. Step 3: Cross multiply
    265,250x = 576,670 × 576,670
  4. Step 4: Simplify right side
    265,250x = 332,548,288,900
  5. Step 5: Solve for x
    x = 332,548,288,900/265,250
  6. Step 6: Final answer
    x = 1,253,716.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.