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Finding the Third Proportional to 315,299.25 and 476,229.38

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Solution

The third proportional to 315,299.25 and 476,229.38 is: 719,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,299.25 : 476,229.38 = 476,229.38 : x
  2. Step 2: Convert to fraction form
    315,299.25/476,229.38 = 476,229.38/x
  3. Step 3: Cross multiply
    315,299.25x = 476,229.38 × 476,229.38
  4. Step 4: Simplify right side
    315,299.25x = 226,794,417,612.89
  5. Step 5: Solve for x
    x = 226,794,417,612.89/315,299.25
  6. Step 6: Final answer
    x = 719,298.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.