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Finding the Third Proportional to 391,832 and 597,882.25

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Solution

The third proportional to 391,832 and 597,882.25 is: 912,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,832 : 597,882.25 = 597,882.25 : x
  2. Step 2: Convert to fraction form
    391,832/597,882.25 = 597,882.25/x
  3. Step 3: Cross multiply
    391,832x = 597,882.25 × 597,882.25
  4. Step 4: Simplify right side
    391,832x = 357,463,184,865.06
  5. Step 5: Solve for x
    x = 357,463,184,865.06/391,832
  6. Step 6: Final answer
    x = 912,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.