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Finding the Third Proportional to 267,121.69 and 584,123.06

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Solution

The third proportional to 267,121.69 and 584,123.06 is: 1,277,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,121.69 : 584,123.06 = 584,123.06 : x
  2. Step 2: Convert to fraction form
    267,121.69/584,123.06 = 584,123.06/x
  3. Step 3: Cross multiply
    267,121.69x = 584,123.06 × 584,123.06
  4. Step 4: Simplify right side
    267,121.69x = 341,199,752,144.38
  5. Step 5: Solve for x
    x = 341,199,752,144.38/267,121.69
  6. Step 6: Final answer
    x = 1,277,319.54

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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.