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Finding the Third Proportional to 364,223.25 and 551,414.25

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Solution

The third proportional to 364,223.25 and 551,414.25 is: 834,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,223.25 : 551,414.25 = 551,414.25 : x
  2. Step 2: Convert to fraction form
    364,223.25/551,414.25 = 551,414.25/x
  3. Step 3: Cross multiply
    364,223.25x = 551,414.25 × 551,414.25
  4. Step 4: Simplify right side
    364,223.25x = 304,057,675,103.06
  5. Step 5: Solve for x
    x = 304,057,675,103.06/364,223.25
  6. Step 6: Final answer
    x = 834,811.27

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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.