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Finding the Third Proportional to 366,917 and 749,386

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Solution

The third proportional to 366,917 and 749,386 is: 1,530,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,917 : 749,386 = 749,386 : x
  2. Step 2: Convert to fraction form
    366,917/749,386 = 749,386/x
  3. Step 3: Cross multiply
    366,917x = 749,386 × 749,386
  4. Step 4: Simplify right side
    366,917x = 561,579,376,996
  5. Step 5: Solve for x
    x = 561,579,376,996/366,917
  6. Step 6: Final answer
    x = 1,530,535.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.