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Finding the Third Proportional to 523,891.13 and 800,870.63

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Solution

The third proportional to 523,891.13 and 800,870.63 is: 1,224,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,891.13 : 800,870.63 = 800,870.63 : x
  2. Step 2: Convert to fraction form
    523,891.13/800,870.63 = 800,870.63/x
  3. Step 3: Cross multiply
    523,891.13x = 800,870.63 × 800,870.63
  4. Step 4: Simplify right side
    523,891.13x = 641,393,757,987.89
  5. Step 5: Solve for x
    x = 641,393,757,987.89/523,891.13
  6. Step 6: Final answer
    x = 1,224,288.27

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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.