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Finding the Third Proportional to 302,914.13 and 615,760.13

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Solution

The third proportional to 302,914.13 and 615,760.13 is: 1,251,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,914.13 : 615,760.13 = 615,760.13 : x
  2. Step 2: Convert to fraction form
    302,914.13/615,760.13 = 615,760.13/x
  3. Step 3: Cross multiply
    302,914.13x = 615,760.13 × 615,760.13
  4. Step 4: Simplify right side
    302,914.13x = 379,160,531,540.02
  5. Step 5: Solve for x
    x = 379,160,531,540.02/302,914.13
  6. Step 6: Final answer
    x = 1,251,709.64

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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.