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Finding the Third Proportional to 188,964 and 414,786

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Solution

The third proportional to 188,964 and 414,786 is: 910,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,964 : 414,786 = 414,786 : x
  2. Step 2: Convert to fraction form
    188,964/414,786 = 414,786/x
  3. Step 3: Cross multiply
    188,964x = 414,786 × 414,786
  4. Step 4: Simplify right side
    188,964x = 172,047,425,796
  5. Step 5: Solve for x
    x = 172,047,425,796/188,964
  6. Step 6: Final answer
    x = 910,477.26

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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.