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Finding the Third Proportional to 202,562 and 439,684

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Solution

The third proportional to 202,562 and 439,684 is: 954,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,562 : 439,684 = 439,684 : x
  2. Step 2: Convert to fraction form
    202,562/439,684 = 439,684/x
  3. Step 3: Cross multiply
    202,562x = 439,684 × 439,684
  4. Step 4: Simplify right side
    202,562x = 193,322,019,856
  5. Step 5: Solve for x
    x = 193,322,019,856/202,562
  6. Step 6: Final answer
    x = 954,384.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.