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Finding the Third Proportional to 244,892 and 378,423

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Solution

The third proportional to 244,892 and 378,423 is: 584,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,892 : 378,423 = 378,423 : x
  2. Step 2: Convert to fraction form
    244,892/378,423 = 378,423/x
  3. Step 3: Cross multiply
    244,892x = 378,423 × 378,423
  4. Step 4: Simplify right side
    244,892x = 143,203,966,929
  5. Step 5: Solve for x
    x = 143,203,966,929/244,892
  6. Step 6: Final answer
    x = 584,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.