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Finding the Third Proportional to 187,466 and 406,926

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Solution

The third proportional to 187,466 and 406,926 is: 883,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,466 : 406,926 = 406,926 : x
  2. Step 2: Convert to fraction form
    187,466/406,926 = 406,926/x
  3. Step 3: Cross multiply
    187,466x = 406,926 × 406,926
  4. Step 4: Simplify right side
    187,466x = 165,588,769,476
  5. Step 5: Solve for x
    x = 165,588,769,476/187,466
  6. Step 6: Final answer
    x = 883,300.28

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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.