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Finding the Third Proportional to 329,155.50 and 491,580

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Solution

The third proportional to 329,155.50 and 491,580 is: 734,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,155.50 : 491,580 = 491,580 : x
  2. Step 2: Convert to fraction form
    329,155.50/491,580 = 491,580/x
  3. Step 3: Cross multiply
    329,155.50x = 491,580 × 491,580
  4. Step 4: Simplify right side
    329,155.50x = 241,650,896,400
  5. Step 5: Solve for x
    x = 241,650,896,400/329,155.50
  6. Step 6: Final answer
    x = 734,154.21

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