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Finding the Third Proportional to 674,917.31 and 949,355.44

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Solution

The third proportional to 674,917.31 and 949,355.44 is: 1,335,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,917.31 : 949,355.44 = 949,355.44 : x
  2. Step 2: Convert to fraction form
    674,917.31/949,355.44 = 949,355.44/x
  3. Step 3: Cross multiply
    674,917.31x = 949,355.44 × 949,355.44
  4. Step 4: Simplify right side
    674,917.31x = 901,275,746,710.82
  5. Step 5: Solve for x
    x = 901,275,746,710.82/674,917.31
  6. Step 6: Final answer
    x = 1,335,386.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.