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Finding the Third Proportional to 474,235 and 723,171

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Solution

The third proportional to 474,235 and 723,171 is: 1,102,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,235 : 723,171 = 723,171 : x
  2. Step 2: Convert to fraction form
    474,235/723,171 = 723,171/x
  3. Step 3: Cross multiply
    474,235x = 723,171 × 723,171
  4. Step 4: Simplify right side
    474,235x = 522,976,295,241
  5. Step 5: Solve for x
    x = 522,976,295,241/474,235
  6. Step 6: Final answer
    x = 1,102,778.78

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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.