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Finding the Third Proportional to 296,190.42 and 627,680.39

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Solution

The third proportional to 296,190.42 and 627,680.39 is: 1,330,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,190.42 : 627,680.39 = 627,680.39 : x
  2. Step 2: Convert to fraction form
    296,190.42/627,680.39 = 627,680.39/x
  3. Step 3: Cross multiply
    296,190.42x = 627,680.39 × 627,680.39
  4. Step 4: Simplify right side
    296,190.42x = 393,982,672,775.15
  5. Step 5: Solve for x
    x = 393,982,672,775.15/296,190.42
  6. Step 6: Final answer
    x = 1,330,166.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.