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Finding the Third Proportional to 583,861.50 and 1,257,759

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Solution

The third proportional to 583,861.50 and 1,257,759 is: 2,709,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,861.50 : 1,257,759 = 1,257,759 : x
  2. Step 2: Convert to fraction form
    583,861.50/1,257,759 = 1,257,759/x
  3. Step 3: Cross multiply
    583,861.50x = 1,257,759 × 1,257,759
  4. Step 4: Simplify right side
    583,861.50x = 1,581,957,702,081
  5. Step 5: Solve for x
    x = 1,581,957,702,081/583,861.50
  6. Step 6: Final answer
    x = 2,709,474.25

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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.