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Finding the Third Proportional to 313,665.75 and 498,523.50

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Solution

The third proportional to 313,665.75 and 498,523.50 is: 792,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,665.75 : 498,523.50 = 498,523.50 : x
  2. Step 2: Convert to fraction form
    313,665.75/498,523.50 = 498,523.50/x
  3. Step 3: Cross multiply
    313,665.75x = 498,523.50 × 498,523.50
  4. Step 4: Simplify right side
    313,665.75x = 248,525,680,052.25
  5. Step 5: Solve for x
    x = 248,525,680,052.25/313,665.75
  6. Step 6: Final answer
    x = 792,326.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.