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Finding the Third Proportional to 202,844 and 441,352

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Solution

The third proportional to 202,844 and 441,352 is: 960,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,844 : 441,352 = 441,352 : x
  2. Step 2: Convert to fraction form
    202,844/441,352 = 441,352/x
  3. Step 3: Cross multiply
    202,844x = 441,352 × 441,352
  4. Step 4: Simplify right side
    202,844x = 194,791,587,904
  5. Step 5: Solve for x
    x = 194,791,587,904/202,844
  6. Step 6: Final answer
    x = 960,302.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.