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Finding the Third Proportional to 266,386 and 566,674

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Solution

The third proportional to 266,386 and 566,674 is: 1,205,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,386 : 566,674 = 566,674 : x
  2. Step 2: Convert to fraction form
    266,386/566,674 = 566,674/x
  3. Step 3: Cross multiply
    266,386x = 566,674 × 566,674
  4. Step 4: Simplify right side
    266,386x = 321,119,422,276
  5. Step 5: Solve for x
    x = 321,119,422,276/266,386
  6. Step 6: Final answer
    x = 1,205,466.59

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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.