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Finding the Third Proportional to 306,034.88 and 430,201.13

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Solution

The third proportional to 306,034.88 and 430,201.13 is: 604,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034.88 : 430,201.13 = 430,201.13 : x
  2. Step 2: Convert to fraction form
    306,034.88/430,201.13 = 430,201.13/x
  3. Step 3: Cross multiply
    306,034.88x = 430,201.13 × 430,201.13
  4. Step 4: Simplify right side
    306,034.88x = 185,073,007,951.27
  5. Step 5: Solve for x
    x = 185,073,007,951.27/306,034.88
  6. Step 6: Final answer
    x = 604,744.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.