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Finding the Third Proportional to 375,846.75 and 819,529.31

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Solution

The third proportional to 375,846.75 and 819,529.31 is: 1,786,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,846.75 : 819,529.31 = 819,529.31 : x
  2. Step 2: Convert to fraction form
    375,846.75/819,529.31 = 819,529.31/x
  3. Step 3: Cross multiply
    375,846.75x = 819,529.31 × 819,529.31
  4. Step 4: Simplify right side
    375,846.75x = 671,628,294,046.72
  5. Step 5: Solve for x
    x = 671,628,294,046.72/375,846.75
  6. Step 6: Final answer
    x = 1,786,973.80

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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.