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Finding the Third Proportional to 283,603.78 and 610,218.56

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Solution

The third proportional to 283,603.78 and 610,218.56 is: 1,312,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,603.78 : 610,218.56 = 610,218.56 : x
  2. Step 2: Convert to fraction form
    283,603.78/610,218.56 = 610,218.56/x
  3. Step 3: Cross multiply
    283,603.78x = 610,218.56 × 610,218.56
  4. Step 4: Simplify right side
    283,603.78x = 372,366,694,019.57
  5. Step 5: Solve for x
    x = 372,366,694,019.57/283,603.78
  6. Step 6: Final answer
    x = 1,312,982.12

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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.