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Finding the Third Proportional to 266,385 and 566,673

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Solution

The third proportional to 266,385 and 566,673 is: 1,205,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,385 : 566,673 = 566,673 : x
  2. Step 2: Convert to fraction form
    266,385/566,673 = 566,673/x
  3. Step 3: Cross multiply
    266,385x = 566,673 × 566,673
  4. Step 4: Simplify right side
    266,385x = 321,118,288,929
  5. Step 5: Solve for x
    x = 321,118,288,929/266,385
  6. Step 6: Final answer
    x = 1,205,466.86

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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.