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Finding the Third Proportional to 266,869.50 and 586,227

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Solution

The third proportional to 266,869.50 and 586,227 is: 1,287,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,869.50 : 586,227 = 586,227 : x
  2. Step 2: Convert to fraction form
    266,869.50/586,227 = 586,227/x
  3. Step 3: Cross multiply
    266,869.50x = 586,227 × 586,227
  4. Step 4: Simplify right side
    266,869.50x = 343,662,095,529
  5. Step 5: Solve for x
    x = 343,662,095,529/266,869.50
  6. Step 6: Final answer
    x = 1,287,753.36

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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.