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Finding the Third Proportional to 229,502 and 379,268

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Solution

The third proportional to 229,502 and 379,268 is: 626,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502 : 379,268 = 379,268 : x
  2. Step 2: Convert to fraction form
    229,502/379,268 = 379,268/x
  3. Step 3: Cross multiply
    229,502x = 379,268 × 379,268
  4. Step 4: Simplify right side
    229,502x = 143,844,215,824
  5. Step 5: Solve for x
    x = 143,844,215,824/229,502
  6. Step 6: Final answer
    x = 626,766.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.