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Finding the Third Proportional to 281,024 and 499,672

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Solution

The third proportional to 281,024 and 499,672 is: 888,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,024 : 499,672 = 499,672 : x
  2. Step 2: Convert to fraction form
    281,024/499,672 = 499,672/x
  3. Step 3: Cross multiply
    281,024x = 499,672 × 499,672
  4. Step 4: Simplify right side
    281,024x = 249,672,107,584
  5. Step 5: Solve for x
    x = 249,672,107,584/281,024
  6. Step 6: Final answer
    x = 888,436.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.