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Finding the Third Proportional to 333,632 and 491,600

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Solution

The third proportional to 333,632 and 491,600 is: 724,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,632 : 491,600 = 491,600 : x
  2. Step 2: Convert to fraction form
    333,632/491,600 = 491,600/x
  3. Step 3: Cross multiply
    333,632x = 491,600 × 491,600
  4. Step 4: Simplify right side
    333,632x = 241,670,560,000
  5. Step 5: Solve for x
    x = 241,670,560,000/333,632
  6. Step 6: Final answer
    x = 724,362.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.