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Finding the Third Proportional to 283,686.75 and 612,204.25

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Solution

The third proportional to 283,686.75 and 612,204.25 is: 1,321,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,686.75 : 612,204.25 = 612,204.25 : x
  2. Step 2: Convert to fraction form
    283,686.75/612,204.25 = 612,204.25/x
  3. Step 3: Cross multiply
    283,686.75x = 612,204.25 × 612,204.25
  4. Step 4: Simplify right side
    283,686.75x = 374,794,043,718.06
  5. Step 5: Solve for x
    x = 374,794,043,718.06/283,686.75
  6. Step 6: Final answer
    x = 1,321,154.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.