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Finding the Third Proportional to 339,291 and 706,486.50

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Solution

The third proportional to 339,291 and 706,486.50 is: 1,471,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,291 : 706,486.50 = 706,486.50 : x
  2. Step 2: Convert to fraction form
    339,291/706,486.50 = 706,486.50/x
  3. Step 3: Cross multiply
    339,291x = 706,486.50 × 706,486.50
  4. Step 4: Simplify right side
    339,291x = 499,123,174,682.25
  5. Step 5: Solve for x
    x = 499,123,174,682.25/339,291
  6. Step 6: Final answer
    x = 1,471,076.97

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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.