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Finding the Third Proportional to 429,847.50 and 894,582

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Solution

The third proportional to 429,847.50 and 894,582 is: 1,861,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,847.50 : 894,582 = 894,582 : x
  2. Step 2: Convert to fraction form
    429,847.50/894,582 = 894,582/x
  3. Step 3: Cross multiply
    429,847.50x = 894,582 × 894,582
  4. Step 4: Simplify right side
    429,847.50x = 800,276,954,724
  5. Step 5: Solve for x
    x = 800,276,954,724/429,847.50
  6. Step 6: Final answer
    x = 1,861,769.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.