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Finding the Third Proportional to 339,637.50 and 706,839

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Solution

The third proportional to 339,637.50 and 706,839 is: 1,471,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,637.50 : 706,839 = 706,839 : x
  2. Step 2: Convert to fraction form
    339,637.50/706,839 = 706,839/x
  3. Step 3: Cross multiply
    339,637.50x = 706,839 × 706,839
  4. Step 4: Simplify right side
    339,637.50x = 499,621,371,921
  5. Step 5: Solve for x
    x = 499,621,371,921/339,637.50
  6. Step 6: Final answer
    x = 1,471,043.01

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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.