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Finding the Third Proportional to 339,631.50 and 706,827

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Solution

The third proportional to 339,631.50 and 706,827 is: 1,471,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,631.50 : 706,827 = 706,827 : x
  2. Step 2: Convert to fraction form
    339,631.50/706,827 = 706,827/x
  3. Step 3: Cross multiply
    339,631.50x = 706,827 × 706,827
  4. Step 4: Simplify right side
    339,631.50x = 499,604,407,929
  5. Step 5: Solve for x
    x = 499,604,407,929/339,631.50
  6. Step 6: Final answer
    x = 1,471,019.05

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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.