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Finding the Third Proportional to 397,560 and 794,796

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Solution

The third proportional to 397,560 and 794,796 is: 1,588,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,560 : 794,796 = 794,796 : x
  2. Step 2: Convert to fraction form
    397,560/794,796 = 794,796/x
  3. Step 3: Cross multiply
    397,560x = 794,796 × 794,796
  4. Step 4: Simplify right side
    397,560x = 631,700,681,616
  5. Step 5: Solve for x
    x = 631,700,681,616/397,560
  6. Step 6: Final answer
    x = 1,588,944.26

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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.