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Finding the Third Proportional to 299,338 and 452,117

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Solution

The third proportional to 299,338 and 452,117 is: 682,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,338 : 452,117 = 452,117 : x
  2. Step 2: Convert to fraction form
    299,338/452,117 = 452,117/x
  3. Step 3: Cross multiply
    299,338x = 452,117 × 452,117
  4. Step 4: Simplify right side
    299,338x = 204,409,781,689
  5. Step 5: Solve for x
    x = 204,409,781,689/299,338
  6. Step 6: Final answer
    x = 682,872.81

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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.