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Finding the Third Proportional to 330,096 and 498,303

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Solution

The third proportional to 330,096 and 498,303 is: 752,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,096 : 498,303 = 498,303 : x
  2. Step 2: Convert to fraction form
    330,096/498,303 = 498,303/x
  3. Step 3: Cross multiply
    330,096x = 498,303 × 498,303
  4. Step 4: Simplify right side
    330,096x = 248,305,879,809
  5. Step 5: Solve for x
    x = 248,305,879,809/330,096
  6. Step 6: Final answer
    x = 752,223.23

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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.