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Finding the Third Proportional to 349,240.50 and 748,284.75

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Solution

The third proportional to 349,240.50 and 748,284.75 is: 1,603,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,240.50 : 748,284.75 = 748,284.75 : x
  2. Step 2: Convert to fraction form
    349,240.50/748,284.75 = 748,284.75/x
  3. Step 3: Cross multiply
    349,240.50x = 748,284.75 × 748,284.75
  4. Step 4: Simplify right side
    349,240.50x = 559,930,067,082.56
  5. Step 5: Solve for x
    x = 559,930,067,082.56/349,240.50
  6. Step 6: Final answer
    x = 1,603,279.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.