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Finding the Third Proportional to 314,676 and 483,959.25

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Solution

The third proportional to 314,676 and 483,959.25 is: 744,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,676 : 483,959.25 = 483,959.25 : x
  2. Step 2: Convert to fraction form
    314,676/483,959.25 = 483,959.25/x
  3. Step 3: Cross multiply
    314,676x = 483,959.25 × 483,959.25
  4. Step 4: Simplify right side
    314,676x = 234,216,555,660.56
  5. Step 5: Solve for x
    x = 234,216,555,660.56/314,676
  6. Step 6: Final answer
    x = 744,310.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.