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Finding the Third Proportional to 411,349.50 and 627,959.25

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Solution

The third proportional to 411,349.50 and 627,959.25 is: 958,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,349.50 : 627,959.25 = 627,959.25 : x
  2. Step 2: Convert to fraction form
    411,349.50/627,959.25 = 627,959.25/x
  3. Step 3: Cross multiply
    411,349.50x = 627,959.25 × 627,959.25
  4. Step 4: Simplify right side
    411,349.50x = 394,332,819,660.56
  5. Step 5: Solve for x
    x = 394,332,819,660.56/411,349.50
  6. Step 6: Final answer
    x = 958,632.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.