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Finding the Third Proportional to 467,626 and 704,597

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Solution

The third proportional to 467,626 and 704,597 is: 1,061,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,626 : 704,597 = 704,597 : x
  2. Step 2: Convert to fraction form
    467,626/704,597 = 704,597/x
  3. Step 3: Cross multiply
    467,626x = 704,597 × 704,597
  4. Step 4: Simplify right side
    467,626x = 496,456,932,409
  5. Step 5: Solve for x
    x = 496,456,932,409/467,626
  6. Step 6: Final answer
    x = 1,061,653.83

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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.