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Finding the Third Proportional to 266,384 and 566,670

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Solution

The third proportional to 266,384 and 566,670 is: 1,205,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,384 : 566,670 = 566,670 : x
  2. Step 2: Convert to fraction form
    266,384/566,670 = 566,670/x
  3. Step 3: Cross multiply
    266,384x = 566,670 × 566,670
  4. Step 4: Simplify right side
    266,384x = 321,114,888,900
  5. Step 5: Solve for x
    x = 321,114,888,900/266,384
  6. Step 6: Final answer
    x = 1,205,458.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.