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Finding the Third Proportional to 361,917 and 714,751

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Solution

The third proportional to 361,917 and 714,751 is: 1,411,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,917 : 714,751 = 714,751 : x
  2. Step 2: Convert to fraction form
    361,917/714,751 = 714,751/x
  3. Step 3: Cross multiply
    361,917x = 714,751 × 714,751
  4. Step 4: Simplify right side
    361,917x = 510,868,992,001
  5. Step 5: Solve for x
    x = 510,868,992,001/361,917
  6. Step 6: Final answer
    x = 1,411,563.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.