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Finding the Third Proportional to 250,963 and 551,682

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Solution

The third proportional to 250,963 and 551,682 is: 1,212,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,963 : 551,682 = 551,682 : x
  2. Step 2: Convert to fraction form
    250,963/551,682 = 551,682/x
  3. Step 3: Cross multiply
    250,963x = 551,682 × 551,682
  4. Step 4: Simplify right side
    250,963x = 304,353,029,124
  5. Step 5: Solve for x
    x = 304,353,029,124/250,963
  6. Step 6: Final answer
    x = 1,212,740.64

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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.