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Finding the Third Proportional to 364,149 and 551,284.50

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Solution

The third proportional to 364,149 and 551,284.50 is: 834,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,149 : 551,284.50 = 551,284.50 : x
  2. Step 2: Convert to fraction form
    364,149/551,284.50 = 551,284.50/x
  3. Step 3: Cross multiply
    364,149x = 551,284.50 × 551,284.50
  4. Step 4: Simplify right side
    364,149x = 303,914,599,940.25
  5. Step 5: Solve for x
    x = 303,914,599,940.25/364,149
  6. Step 6: Final answer
    x = 834,588.59

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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.