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Finding the Third Proportional to 314,793 and 474,825

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Solution

The third proportional to 314,793 and 474,825 is: 716,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,793 : 474,825 = 474,825 : x
  2. Step 2: Convert to fraction form
    314,793/474,825 = 474,825/x
  3. Step 3: Cross multiply
    314,793x = 474,825 × 474,825
  4. Step 4: Simplify right side
    314,793x = 225,458,780,625
  5. Step 5: Solve for x
    x = 225,458,780,625/314,793
  6. Step 6: Final answer
    x = 716,212.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.