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Finding the Third Proportional to 202,541 and 443,207

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Solution

The third proportional to 202,541 and 443,207 is: 969,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,541 : 443,207 = 443,207 : x
  2. Step 2: Convert to fraction form
    202,541/443,207 = 443,207/x
  3. Step 3: Cross multiply
    202,541x = 443,207 × 443,207
  4. Step 4: Simplify right side
    202,541x = 196,432,444,849
  5. Step 5: Solve for x
    x = 196,432,444,849/202,541
  6. Step 6: Final answer
    x = 969,840.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.