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Finding the Third Proportional to 227,730.38 and 486,987.75

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Solution

The third proportional to 227,730.38 and 486,987.75 is: 1,041,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730.38 : 486,987.75 = 486,987.75 : x
  2. Step 2: Convert to fraction form
    227,730.38/486,987.75 = 486,987.75/x
  3. Step 3: Cross multiply
    227,730.38x = 486,987.75 × 486,987.75
  4. Step 4: Simplify right side
    227,730.38x = 237,157,068,650.06
  5. Step 5: Solve for x
    x = 237,157,068,650.06/227,730.38
  6. Step 6: Final answer
    x = 1,041,394.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.