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Finding the Third Proportional to 188,533 and 406,586

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Solution

The third proportional to 188,533 and 406,586 is: 876,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,533 : 406,586 = 406,586 : x
  2. Step 2: Convert to fraction form
    188,533/406,586 = 406,586/x
  3. Step 3: Cross multiply
    188,533x = 406,586 × 406,586
  4. Step 4: Simplify right side
    188,533x = 165,312,175,396
  5. Step 5: Solve for x
    x = 165,312,175,396/188,533
  6. Step 6: Final answer
    x = 876,834.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.