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Finding the Third Proportional to 583,843.50 and 1,257,678

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Solution

The third proportional to 583,843.50 and 1,257,678 is: 2,709,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,843.50 : 1,257,678 = 1,257,678 : x
  2. Step 2: Convert to fraction form
    583,843.50/1,257,678 = 1,257,678/x
  3. Step 3: Cross multiply
    583,843.50x = 1,257,678 × 1,257,678
  4. Step 4: Simplify right side
    583,843.50x = 1,581,753,951,684
  5. Step 5: Solve for x
    x = 1,581,753,951,684/583,843.50
  6. Step 6: Final answer
    x = 2,709,208.81

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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.