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Finding the Third Proportional to 327,123 and 704,358

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Solution

The third proportional to 327,123 and 704,358 is: 1,516,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,123 : 704,358 = 704,358 : x
  2. Step 2: Convert to fraction form
    327,123/704,358 = 704,358/x
  3. Step 3: Cross multiply
    327,123x = 704,358 × 704,358
  4. Step 4: Simplify right side
    327,123x = 496,120,192,164
  5. Step 5: Solve for x
    x = 496,120,192,164/327,123
  6. Step 6: Final answer
    x = 1,516,616.66

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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.