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Finding the Third Proportional to 247,377.38 and 370,418.06

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Solution

The third proportional to 247,377.38 and 370,418.06 is: 554,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,377.38 : 370,418.06 = 370,418.06 : x
  2. Step 2: Convert to fraction form
    247,377.38/370,418.06 = 370,418.06/x
  3. Step 3: Cross multiply
    247,377.38x = 370,418.06 × 370,418.06
  4. Step 4: Simplify right side
    247,377.38x = 137,209,541,026.25
  5. Step 5: Solve for x
    x = 137,209,541,026.25/247,377.38
  6. Step 6: Final answer
    x = 554,656.79

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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.