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Finding the Third Proportional to 313,580 and 477,741

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Solution

The third proportional to 313,580 and 477,741 is: 727,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,580 : 477,741 = 477,741 : x
  2. Step 2: Convert to fraction form
    313,580/477,741 = 477,741/x
  3. Step 3: Cross multiply
    313,580x = 477,741 × 477,741
  4. Step 4: Simplify right side
    313,580x = 228,236,463,081
  5. Step 5: Solve for x
    x = 228,236,463,081/313,580
  6. Step 6: Final answer
    x = 727,841.26

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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.