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Finding the Third Proportional to 266,327 and 374,606

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Solution

The third proportional to 266,327 and 374,606 is: 526,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,327 : 374,606 = 374,606 : x
  2. Step 2: Convert to fraction form
    266,327/374,606 = 374,606/x
  3. Step 3: Cross multiply
    266,327x = 374,606 × 374,606
  4. Step 4: Simplify right side
    266,327x = 140,329,655,236
  5. Step 5: Solve for x
    x = 140,329,655,236/266,327
  6. Step 6: Final answer
    x = 526,907.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.