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Finding the Third Proportional to 281,936.81 and 657,874.69

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Solution

The third proportional to 281,936.81 and 657,874.69 is: 1,535,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936.81 : 657,874.69 = 657,874.69 : x
  2. Step 2: Convert to fraction form
    281,936.81/657,874.69 = 657,874.69/x
  3. Step 3: Cross multiply
    281,936.81x = 657,874.69 × 657,874.69
  4. Step 4: Simplify right side
    281,936.81x = 432,799,104,453.22
  5. Step 5: Solve for x
    x = 432,799,104,453.22/281,936.81
  6. Step 6: Final answer
    x = 1,535,092.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.