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Finding the Third Proportional to 313,464 and 477,536

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Solution

The third proportional to 313,464 and 477,536 is: 727,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,464 : 477,536 = 477,536 : x
  2. Step 2: Convert to fraction form
    313,464/477,536 = 477,536/x
  3. Step 3: Cross multiply
    313,464x = 477,536 × 477,536
  4. Step 4: Simplify right side
    313,464x = 228,040,631,296
  5. Step 5: Solve for x
    x = 228,040,631,296/313,464
  6. Step 6: Final answer
    x = 727,485.87

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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.