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Finding the Third Proportional to 336,876 and 727,182

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Solution

The third proportional to 336,876 and 727,182 is: 1,569,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,876 : 727,182 = 727,182 : x
  2. Step 2: Convert to fraction form
    336,876/727,182 = 727,182/x
  3. Step 3: Cross multiply
    336,876x = 727,182 × 727,182
  4. Step 4: Simplify right side
    336,876x = 528,793,661,124
  5. Step 5: Solve for x
    x = 528,793,661,124/336,876
  6. Step 6: Final answer
    x = 1,569,698.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.