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Finding the Third Proportional to 300,925.13 and 612,359.58

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Solution

The third proportional to 300,925.13 and 612,359.58 is: 1,246,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,925.13 : 612,359.58 = 612,359.58 : x
  2. Step 2: Convert to fraction form
    300,925.13/612,359.58 = 612,359.58/x
  3. Step 3: Cross multiply
    300,925.13x = 612,359.58 × 612,359.58
  4. Step 4: Simplify right side
    300,925.13x = 374,984,252,921.43
  5. Step 5: Solve for x
    x = 374,984,252,921.43/300,925.13
  6. Step 6: Final answer
    x = 1,246,104.83

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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.