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Finding the Third Proportional to 290,530.78 and 627,744.75

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Solution

The third proportional to 290,530.78 and 627,744.75 is: 1,356,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,530.78 : 627,744.75 = 627,744.75 : x
  2. Step 2: Convert to fraction form
    290,530.78/627,744.75 = 627,744.75/x
  3. Step 3: Cross multiply
    290,530.78x = 627,744.75 × 627,744.75
  4. Step 4: Simplify right side
    290,530.78x = 394,063,471,152.56
  5. Step 5: Solve for x
    x = 394,063,471,152.56/290,530.78
  6. Step 6: Final answer
    x = 1,356,357.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.