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Finding the Third Proportional to 339,527.95 and 706,947.75

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Solution

The third proportional to 339,527.95 and 706,947.75 is: 1,471,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,527.95 : 706,947.75 = 706,947.75 : x
  2. Step 2: Convert to fraction form
    339,527.95/706,947.75 = 706,947.75/x
  3. Step 3: Cross multiply
    339,527.95x = 706,947.75 × 706,947.75
  4. Step 4: Simplify right side
    339,527.95x = 499,775,121,230.06
  5. Step 5: Solve for x
    x = 499,775,121,230.06/339,527.95
  6. Step 6: Final answer
    x = 1,471,970.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.