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Finding the Third Proportional to 281,360 and 664,184

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Solution

The third proportional to 281,360 and 664,184 is: 1,567,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,360 : 664,184 = 664,184 : x
  2. Step 2: Convert to fraction form
    281,360/664,184 = 664,184/x
  3. Step 3: Cross multiply
    281,360x = 664,184 × 664,184
  4. Step 4: Simplify right side
    281,360x = 441,140,385,856
  5. Step 5: Solve for x
    x = 441,140,385,856/281,360
  6. Step 6: Final answer
    x = 1,567,885.93

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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.