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Finding the Third Proportional to 318,003.47 and 645,233.34

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Solution

The third proportional to 318,003.47 and 645,233.34 is: 1,309,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,003.47 : 645,233.34 = 645,233.34 : x
  2. Step 2: Convert to fraction form
    318,003.47/645,233.34 = 645,233.34/x
  3. Step 3: Cross multiply
    318,003.47x = 645,233.34 × 645,233.34
  4. Step 4: Simplify right side
    318,003.47x = 416,326,067,886.81
  5. Step 5: Solve for x
    x = 416,326,067,886.81/318,003.47
  6. Step 6: Final answer
    x = 1,309,187.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.