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Finding the Third Proportional to 397,563 and 794,802

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Solution

The third proportional to 397,563 and 794,802 is: 1,588,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,563 : 794,802 = 794,802 : x
  2. Step 2: Convert to fraction form
    397,563/794,802 = 794,802/x
  3. Step 3: Cross multiply
    397,563x = 794,802 × 794,802
  4. Step 4: Simplify right side
    397,563x = 631,710,219,204
  5. Step 5: Solve for x
    x = 631,710,219,204/397,563
  6. Step 6: Final answer
    x = 1,588,956.26

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.