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Finding the Third Proportional to 339,634.50 and 706,833

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Solution

The third proportional to 339,634.50 and 706,833 is: 1,471,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,634.50 : 706,833 = 706,833 : x
  2. Step 2: Convert to fraction form
    339,634.50/706,833 = 706,833/x
  3. Step 3: Cross multiply
    339,634.50x = 706,833 × 706,833
  4. Step 4: Simplify right side
    339,634.50x = 499,612,889,889
  5. Step 5: Solve for x
    x = 499,612,889,889/339,634.50
  6. Step 6: Final answer
    x = 1,471,031.03

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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.