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Finding the Third Proportional to 396,760.78 and 596,030.91

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Solution

The third proportional to 396,760.78 and 596,030.91 is: 895,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,760.78 : 596,030.91 = 596,030.91 : x
  2. Step 2: Convert to fraction form
    396,760.78/596,030.91 = 596,030.91/x
  3. Step 3: Cross multiply
    396,760.78x = 596,030.91 × 596,030.91
  4. Step 4: Simplify right side
    396,760.78x = 355,252,841,205.20
  5. Step 5: Solve for x
    x = 355,252,841,205.20/396,760.78
  6. Step 6: Final answer
    x = 895,382.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.