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Finding the Third Proportional to 313,596 and 477,768

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Solution

The third proportional to 313,596 and 477,768 is: 727,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,596 : 477,768 = 477,768 : x
  2. Step 2: Convert to fraction form
    313,596/477,768 = 477,768/x
  3. Step 3: Cross multiply
    313,596x = 477,768 × 477,768
  4. Step 4: Simplify right side
    313,596x = 228,262,261,824
  5. Step 5: Solve for x
    x = 228,262,261,824/313,596
  6. Step 6: Final answer
    x = 727,886.39

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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.