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Finding the Third Proportional to 339,568 and 707,040

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Solution

The third proportional to 339,568 and 707,040 is: 1,472,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,568 : 707,040 = 707,040 : x
  2. Step 2: Convert to fraction form
    339,568/707,040 = 707,040/x
  3. Step 3: Cross multiply
    339,568x = 707,040 × 707,040
  4. Step 4: Simplify right side
    339,568x = 499,905,561,600
  5. Step 5: Solve for x
    x = 499,905,561,600/339,568
  6. Step 6: Final answer
    x = 1,472,181.01

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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.