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Finding the Third Proportional to 188,592 and 406,704

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Solution

The third proportional to 188,592 and 406,704 is: 877,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,592 : 406,704 = 406,704 : x
  2. Step 2: Convert to fraction form
    188,592/406,704 = 406,704/x
  3. Step 3: Cross multiply
    188,592x = 406,704 × 406,704
  4. Step 4: Simplify right side
    188,592x = 165,408,143,616
  5. Step 5: Solve for x
    x = 165,408,143,616/188,592
  6. Step 6: Final answer
    x = 877,068.72

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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.