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Finding the Third Proportional to 266,883 and 586,254

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Solution

The third proportional to 266,883 and 586,254 is: 1,287,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,883 : 586,254 = 586,254 : x
  2. Step 2: Convert to fraction form
    266,883/586,254 = 586,254/x
  3. Step 3: Cross multiply
    266,883x = 586,254 × 586,254
  4. Step 4: Simplify right side
    266,883x = 343,693,752,516
  5. Step 5: Solve for x
    x = 343,693,752,516/266,883
  6. Step 6: Final answer
    x = 1,287,806.84

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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.