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Finding the Third Proportional to 250,964 and 551,684

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Solution

The third proportional to 250,964 and 551,684 is: 1,212,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,964 : 551,684 = 551,684 : x
  2. Step 2: Convert to fraction form
    250,964/551,684 = 551,684/x
  3. Step 3: Cross multiply
    250,964x = 551,684 × 551,684
  4. Step 4: Simplify right side
    250,964x = 304,355,235,856
  5. Step 5: Solve for x
    x = 304,355,235,856/250,964
  6. Step 6: Final answer
    x = 1,212,744.60

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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.