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Finding the Third Proportional to 201,377 and 433,611

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Solution

The third proportional to 201,377 and 433,611 is: 933,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,377 : 433,611 = 433,611 : x
  2. Step 2: Convert to fraction form
    201,377/433,611 = 433,611/x
  3. Step 3: Cross multiply
    201,377x = 433,611 × 433,611
  4. Step 4: Simplify right side
    201,377x = 188,018,499,321
  5. Step 5: Solve for x
    x = 188,018,499,321/201,377
  6. Step 6: Final answer
    x = 933,664.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.