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Finding the Third Proportional to 187,652 and 406,624

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Solution

The third proportional to 187,652 and 406,624 is: 881,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,652 : 406,624 = 406,624 : x
  2. Step 2: Convert to fraction form
    187,652/406,624 = 406,624/x
  3. Step 3: Cross multiply
    187,652x = 406,624 × 406,624
  4. Step 4: Simplify right side
    187,652x = 165,343,077,376
  5. Step 5: Solve for x
    x = 165,343,077,376/187,652
  6. Step 6: Final answer
    x = 881,115.46

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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.