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Finding the Third Proportional to 325,853.50 and 498,476

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Solution

The third proportional to 325,853.50 and 498,476 is: 762,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,853.50 : 498,476 = 498,476 : x
  2. Step 2: Convert to fraction form
    325,853.50/498,476 = 498,476/x
  3. Step 3: Cross multiply
    325,853.50x = 498,476 × 498,476
  4. Step 4: Simplify right side
    325,853.50x = 248,478,322,576
  5. Step 5: Solve for x
    x = 248,478,322,576/325,853.50
  6. Step 6: Final answer
    x = 762,546.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.