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Finding the Third Proportional to 462,875 and 694,311

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Solution

The third proportional to 462,875 and 694,311 is: 1,041,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,875 : 694,311 = 694,311 : x
  2. Step 2: Convert to fraction form
    462,875/694,311 = 694,311/x
  3. Step 3: Cross multiply
    462,875x = 694,311 × 694,311
  4. Step 4: Simplify right side
    462,875x = 482,067,764,721
  5. Step 5: Solve for x
    x = 482,067,764,721/462,875
  6. Step 6: Final answer
    x = 1,041,464.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.