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Finding the Third Proportional to 375,852.66 and 819,540.28

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Solution

The third proportional to 375,852.66 and 819,540.28 is: 1,786,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,852.66 : 819,540.28 = 819,540.28 : x
  2. Step 2: Convert to fraction form
    375,852.66/819,540.28 = 819,540.28/x
  3. Step 3: Cross multiply
    375,852.66x = 819,540.28 × 819,540.28
  4. Step 4: Simplify right side
    375,852.66x = 671,646,272,591.33
  5. Step 5: Solve for x
    x = 671,646,272,591.33/375,852.66
  6. Step 6: Final answer
    x = 1,786,993.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.