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Finding the Third Proportional to 313,470 and 739,863

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Solution

The third proportional to 313,470 and 739,863 is: 1,746,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470 : 739,863 = 739,863 : x
  2. Step 2: Convert to fraction form
    313,470/739,863 = 739,863/x
  3. Step 3: Cross multiply
    313,470x = 739,863 × 739,863
  4. Step 4: Simplify right side
    313,470x = 547,397,258,769
  5. Step 5: Solve for x
    x = 547,397,258,769/313,470
  6. Step 6: Final answer
    x = 1,746,250.87

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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.