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Finding the Third Proportional to 306,728.50 and 468,396

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Solution

The third proportional to 306,728.50 and 468,396 is: 715,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,728.50 : 468,396 = 468,396 : x
  2. Step 2: Convert to fraction form
    306,728.50/468,396 = 468,396/x
  3. Step 3: Cross multiply
    306,728.50x = 468,396 × 468,396
  4. Step 4: Simplify right side
    306,728.50x = 219,394,812,816
  5. Step 5: Solve for x
    x = 219,394,812,816/306,728.50
  6. Step 6: Final answer
    x = 715,273.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.