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Finding the Third Proportional to 339,478.59 and 706,856.63

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Solution

The third proportional to 339,478.59 and 706,856.63 is: 1,471,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,478.59 : 706,856.63 = 706,856.63 : x
  2. Step 2: Convert to fraction form
    339,478.59/706,856.63 = 706,856.63/x
  3. Step 3: Cross multiply
    339,478.59x = 706,856.63 × 706,856.63
  4. Step 4: Simplify right side
    339,478.59x = 499,646,288,306.39
  5. Step 5: Solve for x
    x = 499,646,288,306.39/339,478.59
  6. Step 6: Final answer
    x = 1,471,804.99

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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.