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Finding the Third Proportional to 364,229 and 551,423

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Solution

The third proportional to 364,229 and 551,423 is: 834,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,229 : 551,423 = 551,423 : x
  2. Step 2: Convert to fraction form
    364,229/551,423 = 551,423/x
  3. Step 3: Cross multiply
    364,229x = 551,423 × 551,423
  4. Step 4: Simplify right side
    364,229x = 304,067,324,929
  5. Step 5: Solve for x
    x = 304,067,324,929/364,229
  6. Step 6: Final answer
    x = 834,824.59

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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.