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Finding the Third Proportional to 202,650 and 439,908

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Solution

The third proportional to 202,650 and 439,908 is: 954,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650 : 439,908 = 439,908 : x
  2. Step 2: Convert to fraction form
    202,650/439,908 = 439,908/x
  3. Step 3: Cross multiply
    202,650x = 439,908 × 439,908
  4. Step 4: Simplify right side
    202,650x = 193,519,048,464
  5. Step 5: Solve for x
    x = 193,519,048,464/202,650
  6. Step 6: Final answer
    x = 954,942.26

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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.