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Finding the Third Proportional to 281,153 and 619,906

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Solution

The third proportional to 281,153 and 619,906 is: 1,366,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,153 : 619,906 = 619,906 : x
  2. Step 2: Convert to fraction form
    281,153/619,906 = 619,906/x
  3. Step 3: Cross multiply
    281,153x = 619,906 × 619,906
  4. Step 4: Simplify right side
    281,153x = 384,283,448,836
  5. Step 5: Solve for x
    x = 384,283,448,836/281,153
  6. Step 6: Final answer
    x = 1,366,812.55

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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.