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Finding the Third Proportional to 291,594 and 627,908

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Solution

The third proportional to 291,594 and 627,908 is: 1,352,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,594 : 627,908 = 627,908 : x
  2. Step 2: Convert to fraction form
    291,594/627,908 = 627,908/x
  3. Step 3: Cross multiply
    291,594x = 627,908 × 627,908
  4. Step 4: Simplify right side
    291,594x = 394,268,456,464
  5. Step 5: Solve for x
    x = 394,268,456,464/291,594
  6. Step 6: Final answer
    x = 1,352,114.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.