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Finding the Third Proportional to 313,582 and 477,744

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Solution

The third proportional to 313,582 and 477,744 is: 727,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,582 : 477,744 = 477,744 : x
  2. Step 2: Convert to fraction form
    313,582/477,744 = 477,744/x
  3. Step 3: Cross multiply
    313,582x = 477,744 × 477,744
  4. Step 4: Simplify right side
    313,582x = 228,239,329,536
  5. Step 5: Solve for x
    x = 228,239,329,536/313,582
  6. Step 6: Final answer
    x = 727,845.76

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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.