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Finding the Third Proportional to 191,504 and 406,048

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Solution

The third proportional to 191,504 and 406,048 is: 860,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,504 : 406,048 = 406,048 : x
  2. Step 2: Convert to fraction form
    191,504/406,048 = 406,048/x
  3. Step 3: Cross multiply
    191,504x = 406,048 × 406,048
  4. Step 4: Simplify right side
    191,504x = 164,874,978,304
  5. Step 5: Solve for x
    x = 164,874,978,304/191,504
  6. Step 6: Final answer
    x = 860,947.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.