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Finding the Third Proportional to 313,704 and 473,478.75

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Solution

The third proportional to 313,704 and 473,478.75 is: 714,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,704 : 473,478.75 = 473,478.75 : x
  2. Step 2: Convert to fraction form
    313,704/473,478.75 = 473,478.75/x
  3. Step 3: Cross multiply
    313,704x = 473,478.75 × 473,478.75
  4. Step 4: Simplify right side
    313,704x = 224,182,126,701.56
  5. Step 5: Solve for x
    x = 224,182,126,701.56/313,704
  6. Step 6: Final answer
    x = 714,629.48

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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.