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Finding the Third Proportional to 382,743.56 and 823,987.69

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Solution

The third proportional to 382,743.56 and 823,987.69 is: 1,773,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,743.56 : 823,987.69 = 823,987.69 : x
  2. Step 2: Convert to fraction form
    382,743.56/823,987.69 = 823,987.69/x
  3. Step 3: Cross multiply
    382,743.56x = 823,987.69 × 823,987.69
  4. Step 4: Simplify right side
    382,743.56x = 678,955,709,151.60
  5. Step 5: Solve for x
    x = 678,955,709,151.60/382,743.56
  6. Step 6: Final answer
    x = 1,773,918.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.