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Finding the Third Proportional to 315,202 and 682,908

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Solution

The third proportional to 315,202 and 682,908 is: 1,479,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,202 : 682,908 = 682,908 : x
  2. Step 2: Convert to fraction form
    315,202/682,908 = 682,908/x
  3. Step 3: Cross multiply
    315,202x = 682,908 × 682,908
  4. Step 4: Simplify right side
    315,202x = 466,363,336,464
  5. Step 5: Solve for x
    x = 466,363,336,464/315,202
  6. Step 6: Final answer
    x = 1,479,569.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.