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Finding the Third Proportional to 330,595.50 and 491,033.25

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Solution

The third proportional to 330,595.50 and 491,033.25 is: 729,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,595.50 : 491,033.25 = 491,033.25 : x
  2. Step 2: Convert to fraction form
    330,595.50/491,033.25 = 491,033.25/x
  3. Step 3: Cross multiply
    330,595.50x = 491,033.25 × 491,033.25
  4. Step 4: Simplify right side
    330,595.50x = 241,113,652,605.56
  5. Step 5: Solve for x
    x = 241,113,652,605.56/330,595.50
  6. Step 6: Final answer
    x = 729,331.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.