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Finding the Third Proportional to 188,463 and 409,646

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Solution

The third proportional to 188,463 and 409,646 is: 890,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,463 : 409,646 = 409,646 : x
  2. Step 2: Convert to fraction form
    188,463/409,646 = 409,646/x
  3. Step 3: Cross multiply
    188,463x = 409,646 × 409,646
  4. Step 4: Simplify right side
    188,463x = 167,809,845,316
  5. Step 5: Solve for x
    x = 167,809,845,316/188,463
  6. Step 6: Final answer
    x = 890,412.68

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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.