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Finding the Third Proportional to 333,181 and 474,850

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Solution

The third proportional to 333,181 and 474,850 is: 676,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,181 : 474,850 = 474,850 : x
  2. Step 2: Convert to fraction form
    333,181/474,850 = 474,850/x
  3. Step 3: Cross multiply
    333,181x = 474,850 × 474,850
  4. Step 4: Simplify right side
    333,181x = 225,482,522,500
  5. Step 5: Solve for x
    x = 225,482,522,500/333,181
  6. Step 6: Final answer
    x = 676,756.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.