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Finding the Third Proportional to 202,264 and 443,407

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Solution

The third proportional to 202,264 and 443,407 is: 972,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264 : 443,407 = 443,407 : x
  2. Step 2: Convert to fraction form
    202,264/443,407 = 443,407/x
  3. Step 3: Cross multiply
    202,264x = 443,407 × 443,407
  4. Step 4: Simplify right side
    202,264x = 196,609,767,649
  5. Step 5: Solve for x
    x = 196,609,767,649/202,264
  6. Step 6: Final answer
    x = 972,045.29

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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.