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Finding the Third Proportional to 313,472 and 739,868

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Solution

The third proportional to 313,472 and 739,868 is: 1,746,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,472 : 739,868 = 739,868 : x
  2. Step 2: Convert to fraction form
    313,472/739,868 = 739,868/x
  3. Step 3: Cross multiply
    313,472x = 739,868 × 739,868
  4. Step 4: Simplify right side
    313,472x = 547,404,657,424
  5. Step 5: Solve for x
    x = 547,404,657,424/313,472
  6. Step 6: Final answer
    x = 1,746,263.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.