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Finding the Third Proportional to 266,600 and 584,863

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Solution

The third proportional to 266,600 and 584,863 is: 1,283,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,600 : 584,863 = 584,863 : x
  2. Step 2: Convert to fraction form
    266,600/584,863 = 584,863/x
  3. Step 3: Cross multiply
    266,600x = 584,863 × 584,863
  4. Step 4: Simplify right side
    266,600x = 342,064,728,769
  5. Step 5: Solve for x
    x = 342,064,728,769/266,600
  6. Step 6: Final answer
    x = 1,283,063.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.