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Finding the Third Proportional to 266,166 and 584,748

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Solution

The third proportional to 266,166 and 584,748 is: 1,284,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,166 : 584,748 = 584,748 : x
  2. Step 2: Convert to fraction form
    266,166/584,748 = 584,748/x
  3. Step 3: Cross multiply
    266,166x = 584,748 × 584,748
  4. Step 4: Simplify right side
    266,166x = 341,930,223,504
  5. Step 5: Solve for x
    x = 341,930,223,504/266,166
  6. Step 6: Final answer
    x = 1,284,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.