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Finding the Third Proportional to 281,184 and 663,744

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Solution

The third proportional to 281,184 and 663,744 is: 1,566,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,184 : 663,744 = 663,744 : x
  2. Step 2: Convert to fraction form
    281,184/663,744 = 663,744/x
  3. Step 3: Cross multiply
    281,184x = 663,744 × 663,744
  4. Step 4: Simplify right side
    281,184x = 440,556,097,536
  5. Step 5: Solve for x
    x = 440,556,097,536/281,184
  6. Step 6: Final answer
    x = 1,566,789.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.