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Finding the Third Proportional to 276,442.88 and 416,608.31

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Solution

The third proportional to 276,442.88 and 416,608.31 is: 627,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,442.88 : 416,608.31 = 416,608.31 : x
  2. Step 2: Convert to fraction form
    276,442.88/416,608.31 = 416,608.31/x
  3. Step 3: Cross multiply
    276,442.88x = 416,608.31 × 416,608.31
  4. Step 4: Simplify right side
    276,442.88x = 173,562,486,044.10
  5. Step 5: Solve for x
    x = 173,562,486,044.10/276,442.88
  6. Step 6: Final answer
    x = 627,842.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.