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Finding the Third Proportional to 266,312 and 374,589

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Solution

The third proportional to 266,312 and 374,589 is: 526,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,312 : 374,589 = 374,589 : x
  2. Step 2: Convert to fraction form
    266,312/374,589 = 374,589/x
  3. Step 3: Cross multiply
    266,312x = 374,589 × 374,589
  4. Step 4: Simplify right side
    266,312x = 140,316,918,921
  5. Step 5: Solve for x
    x = 140,316,918,921/266,312
  6. Step 6: Final answer
    x = 526,889.21

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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.