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Finding the Third Proportional to 244,195,329 and 523,839,597

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Solution

The third proportional to 244,195,329 and 523,839,597 is: 1,123,723,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,195,329 : 523,839,597 = 523,839,597 : x
  2. Step 2: Convert to fraction form
    244,195,329/523,839,597 = 523,839,597/x
  3. Step 3: Cross multiply
    244,195,329x = 523,839,597 × 523,839,597
  4. Step 4: Simplify right side
    244,195,329x = 274,407,923,385,122,400
  5. Step 5: Solve for x
    x = 274,407,923,385,122,400/244,195,329
  6. Step 6: Final answer
    x = 1,123,723,064.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.