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Finding the Third Proportional to 364,238 and 551,436

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Solution

The third proportional to 364,238 and 551,436 is: 834,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,238 : 551,436 = 551,436 : x
  2. Step 2: Convert to fraction form
    364,238/551,436 = 551,436/x
  3. Step 3: Cross multiply
    364,238x = 551,436 × 551,436
  4. Step 4: Simplify right side
    364,238x = 304,081,662,096
  5. Step 5: Solve for x
    x = 304,081,662,096/364,238
  6. Step 6: Final answer
    x = 834,843.32

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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.