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Finding the Third Proportional to 462,737 and 699,933

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Solution

The third proportional to 462,737 and 699,933 is: 1,058,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,737 : 699,933 = 699,933 : x
  2. Step 2: Convert to fraction form
    462,737/699,933 = 699,933/x
  3. Step 3: Cross multiply
    462,737x = 699,933 × 699,933
  4. Step 4: Simplify right side
    462,737x = 489,906,204,489
  5. Step 5: Solve for x
    x = 489,906,204,489/462,737
  6. Step 6: Final answer
    x = 1,058,714.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.