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Finding the Third Proportional to 797,178.59 and 820,142.09

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Solution

The third proportional to 797,178.59 and 820,142.09 is: 843,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,178.59 : 820,142.09 = 820,142.09 : x
  2. Step 2: Convert to fraction form
    797,178.59/820,142.09 = 820,142.09/x
  3. Step 3: Cross multiply
    797,178.59x = 820,142.09 × 820,142.09
  4. Step 4: Simplify right side
    797,178.59x = 672,633,041,125.91
  5. Step 5: Solve for x
    x = 672,633,041,125.91/797,178.59
  6. Step 6: Final answer
    x = 843,767.07

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.