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Finding the Third Proportional to 293,882 and 439,684

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Solution

The third proportional to 293,882 and 439,684 is: 657,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,882 : 439,684 = 439,684 : x
  2. Step 2: Convert to fraction form
    293,882/439,684 = 439,684/x
  3. Step 3: Cross multiply
    293,882x = 439,684 × 439,684
  4. Step 4: Simplify right side
    293,882x = 193,322,019,856
  5. Step 5: Solve for x
    x = 193,322,019,856/293,882
  6. Step 6: Final answer
    x = 657,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.