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Finding the Third Proportional to 278,189.44 and 599,572.13

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Solution

The third proportional to 278,189.44 and 599,572.13 is: 1,292,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,189.44 : 599,572.13 = 599,572.13 : x
  2. Step 2: Convert to fraction form
    278,189.44/599,572.13 = 599,572.13/x
  3. Step 3: Cross multiply
    278,189.44x = 599,572.13 × 599,572.13
  4. Step 4: Simplify right side
    278,189.44x = 359,486,733,077.02
  5. Step 5: Solve for x
    x = 359,486,733,077.02/278,189.44
  6. Step 6: Final answer
    x = 1,292,237.18

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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.