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Finding the Third Proportional to 315,272.25 and 476,178.75

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Solution

The third proportional to 315,272.25 and 476,178.75 is: 719,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272.25 : 476,178.75 = 476,178.75 : x
  2. Step 2: Convert to fraction form
    315,272.25/476,178.75 = 476,178.75/x
  3. Step 3: Cross multiply
    315,272.25x = 476,178.75 × 476,178.75
  4. Step 4: Simplify right side
    315,272.25x = 226,746,201,951.56
  5. Step 5: Solve for x
    x = 226,746,201,951.56/315,272.25
  6. Step 6: Final answer
    x = 719,207.61

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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.