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Finding the Third Proportional to 381,543.44 and 794,484.81

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Solution

The third proportional to 381,543.44 and 794,484.81 is: 1,654,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,543.44 : 794,484.81 = 794,484.81 : x
  2. Step 2: Convert to fraction form
    381,543.44/794,484.81 = 794,484.81/x
  3. Step 3: Cross multiply
    381,543.44x = 794,484.81 × 794,484.81
  4. Step 4: Simplify right side
    381,543.44x = 631,206,117,293.16
  5. Step 5: Solve for x
    x = 631,206,117,293.16/381,543.44
  6. Step 6: Final answer
    x = 1,654,349.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.