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Finding the Third Proportional to 368,001 and 494,554.50

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Solution

The third proportional to 368,001 and 494,554.50 is: 664,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,001 : 494,554.50 = 494,554.50 : x
  2. Step 2: Convert to fraction form
    368,001/494,554.50 = 494,554.50/x
  3. Step 3: Cross multiply
    368,001x = 494,554.50 × 494,554.50
  4. Step 4: Simplify right side
    368,001x = 244,584,153,470.25
  5. Step 5: Solve for x
    x = 244,584,153,470.25/368,001
  6. Step 6: Final answer
    x = 664,629.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.