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Finding the Third Proportional to 210,560 and 323,626

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Solution

The third proportional to 210,560 and 323,626 is: 497,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,560 : 323,626 = 323,626 : x
  2. Step 2: Convert to fraction form
    210,560/323,626 = 323,626/x
  3. Step 3: Cross multiply
    210,560x = 323,626 × 323,626
  4. Step 4: Simplify right side
    210,560x = 104,733,787,876
  5. Step 5: Solve for x
    x = 104,733,787,876/210,560
  6. Step 6: Final answer
    x = 497,405.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.