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Finding the Third Proportional to 266,605.50 and 584,874

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Solution

The third proportional to 266,605.50 and 584,874 is: 1,283,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,605.50 : 584,874 = 584,874 : x
  2. Step 2: Convert to fraction form
    266,605.50/584,874 = 584,874/x
  3. Step 3: Cross multiply
    266,605.50x = 584,874 × 584,874
  4. Step 4: Simplify right side
    266,605.50x = 342,077,595,876
  5. Step 5: Solve for x
    x = 342,077,595,876/266,605.50
  6. Step 6: Final answer
    x = 1,283,085.29

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