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Finding the Third Proportional to 281,664 and 574,800

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Solution

The third proportional to 281,664 and 574,800 is: 1,173,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664 : 574,800 = 574,800 : x
  2. Step 2: Convert to fraction form
    281,664/574,800 = 574,800/x
  3. Step 3: Cross multiply
    281,664x = 574,800 × 574,800
  4. Step 4: Simplify right side
    281,664x = 330,395,040,000
  5. Step 5: Solve for x
    x = 330,395,040,000/281,664
  6. Step 6: Final answer
    x = 1,173,011.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.