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Finding the Third Proportional to 396,069.75 and 596,008.13

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Solution

The third proportional to 396,069.75 and 596,008.13 is: 896,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,069.75 : 596,008.13 = 596,008.13 : x
  2. Step 2: Convert to fraction form
    396,069.75/596,008.13 = 596,008.13/x
  3. Step 3: Cross multiply
    396,069.75x = 596,008.13 × 596,008.13
  4. Step 4: Simplify right side
    396,069.75x = 355,225,685,066.02
  5. Step 5: Solve for x
    x = 355,225,685,066.02/396,069.75
  6. Step 6: Final answer
    x = 896,876.59

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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.