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Finding the Third Proportional to 313,608 and 477,780

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Solution

The third proportional to 313,608 and 477,780 is: 727,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,608 : 477,780 = 477,780 : x
  2. Step 2: Convert to fraction form
    313,608/477,780 = 477,780/x
  3. Step 3: Cross multiply
    313,608x = 477,780 × 477,780
  4. Step 4: Simplify right side
    313,608x = 228,273,728,400
  5. Step 5: Solve for x
    x = 228,273,728,400/313,608
  6. Step 6: Final answer
    x = 727,895.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.