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Finding the Third Proportional to 457,586 and 699,983

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Solution

The third proportional to 457,586 and 699,983 is: 1,070,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,586 : 699,983 = 699,983 : x
  2. Step 2: Convert to fraction form
    457,586/699,983 = 699,983/x
  3. Step 3: Cross multiply
    457,586x = 699,983 × 699,983
  4. Step 4: Simplify right side
    457,586x = 489,976,200,289
  5. Step 5: Solve for x
    x = 489,976,200,289/457,586
  6. Step 6: Final answer
    x = 1,070,784.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.