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Finding the Third Proportional to 201,859 and 438,061

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Solution

The third proportional to 201,859 and 438,061 is: 950,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859 : 438,061 = 438,061 : x
  2. Step 2: Convert to fraction form
    201,859/438,061 = 438,061/x
  3. Step 3: Cross multiply
    201,859x = 438,061 × 438,061
  4. Step 4: Simplify right side
    201,859x = 191,897,439,721
  5. Step 5: Solve for x
    x = 191,897,439,721/201,859
  6. Step 6: Final answer
    x = 950,650.90

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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.