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Finding the Third Proportional to 396,074.81 and 596,003.06

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Solution

The third proportional to 396,074.81 and 596,003.06 is: 896,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,074.81 : 596,003.06 = 596,003.06 : x
  2. Step 2: Convert to fraction form
    396,074.81/596,003.06 = 596,003.06/x
  3. Step 3: Cross multiply
    396,074.81x = 596,003.06 × 596,003.06
  4. Step 4: Simplify right side
    396,074.81x = 355,219,650,509.38
  5. Step 5: Solve for x
    x = 355,219,650,509.38/396,074.81
  6. Step 6: Final answer
    x = 896,849.89

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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.