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Finding the Third Proportional to 313,701 and 473,493

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Solution

The third proportional to 313,701 and 473,493 is: 714,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,701 : 473,493 = 473,493 : x
  2. Step 2: Convert to fraction form
    313,701/473,493 = 473,493/x
  3. Step 3: Cross multiply
    313,701x = 473,493 × 473,493
  4. Step 4: Simplify right side
    313,701x = 224,195,621,049
  5. Step 5: Solve for x
    x = 224,195,621,049/313,701
  6. Step 6: Final answer
    x = 714,679.33

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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.