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Finding the Third Proportional to 339,463.50 and 706,818

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Solution

The third proportional to 339,463.50 and 706,818 is: 1,471,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,463.50 : 706,818 = 706,818 : x
  2. Step 2: Convert to fraction form
    339,463.50/706,818 = 706,818/x
  3. Step 3: Cross multiply
    339,463.50x = 706,818 × 706,818
  4. Step 4: Simplify right side
    339,463.50x = 499,591,685,124
  5. Step 5: Solve for x
    x = 499,591,685,124/339,463.50
  6. Step 6: Final answer
    x = 1,471,709.58

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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.