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Finding the Third Proportional to 340,782 and 515,949

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Solution

The third proportional to 340,782 and 515,949 is: 781,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782 : 515,949 = 515,949 : x
  2. Step 2: Convert to fraction form
    340,782/515,949 = 515,949/x
  3. Step 3: Cross multiply
    340,782x = 515,949 × 515,949
  4. Step 4: Simplify right side
    340,782x = 266,203,370,601
  5. Step 5: Solve for x
    x = 266,203,370,601/340,782
  6. Step 6: Final answer
    x = 781,154.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.