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Finding the Third Proportional to 364,214 and 551,400

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Solution

The third proportional to 364,214 and 551,400 is: 834,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,214 : 551,400 = 551,400 : x
  2. Step 2: Convert to fraction form
    364,214/551,400 = 551,400/x
  3. Step 3: Cross multiply
    364,214x = 551,400 × 551,400
  4. Step 4: Simplify right side
    364,214x = 304,041,960,000
  5. Step 5: Solve for x
    x = 304,041,960,000/364,214
  6. Step 6: Final answer
    x = 834,789.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.