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Finding the Third Proportional to 466,812 and 741,042

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Solution

The third proportional to 466,812 and 741,042 is: 1,176,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,812 : 741,042 = 741,042 : x
  2. Step 2: Convert to fraction form
    466,812/741,042 = 741,042/x
  3. Step 3: Cross multiply
    466,812x = 741,042 × 741,042
  4. Step 4: Simplify right side
    466,812x = 549,143,245,764
  5. Step 5: Solve for x
    x = 549,143,245,764/466,812
  6. Step 6: Final answer
    x = 1,176,369.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.