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Finding the Third Proportional to 330,091.50 and 498,297

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Solution

The third proportional to 330,091.50 and 498,297 is: 752,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,091.50 : 498,297 = 498,297 : x
  2. Step 2: Convert to fraction form
    330,091.50/498,297 = 498,297/x
  3. Step 3: Cross multiply
    330,091.50x = 498,297 × 498,297
  4. Step 4: Simplify right side
    330,091.50x = 248,299,900,209
  5. Step 5: Solve for x
    x = 248,299,900,209/330,091.50
  6. Step 6: Final answer
    x = 752,215.37

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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.