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Finding the Third Proportional to 306,163.50 and 482,724

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Solution

The third proportional to 306,163.50 and 482,724 is: 761,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,163.50 : 482,724 = 482,724 : x
  2. Step 2: Convert to fraction form
    306,163.50/482,724 = 482,724/x
  3. Step 3: Cross multiply
    306,163.50x = 482,724 × 482,724
  4. Step 4: Simplify right side
    306,163.50x = 233,022,460,176
  5. Step 5: Solve for x
    x = 233,022,460,176/306,163.50
  6. Step 6: Final answer
    x = 761,104.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.