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Finding the Third Proportional to 417,328 and 627,944

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Solution

The third proportional to 417,328 and 627,944 is: 944,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,328 : 627,944 = 627,944 : x
  2. Step 2: Convert to fraction form
    417,328/627,944 = 627,944/x
  3. Step 3: Cross multiply
    417,328x = 627,944 × 627,944
  4. Step 4: Simplify right side
    417,328x = 394,313,667,136
  5. Step 5: Solve for x
    x = 394,313,667,136/417,328
  6. Step 6: Final answer
    x = 944,853.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.