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Finding the Third Proportional to 188,964 and 414,788

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Solution

The third proportional to 188,964 and 414,788 is: 910,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,964 : 414,788 = 414,788 : x
  2. Step 2: Convert to fraction form
    188,964/414,788 = 414,788/x
  3. Step 3: Cross multiply
    188,964x = 414,788 × 414,788
  4. Step 4: Simplify right side
    188,964x = 172,049,084,944
  5. Step 5: Solve for x
    x = 172,049,084,944/188,964
  6. Step 6: Final answer
    x = 910,486.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.