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Finding the Third Proportional to 390,847.50 and 856,512

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Solution

The third proportional to 390,847.50 and 856,512 is: 1,876,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,847.50 : 856,512 = 856,512 : x
  2. Step 2: Convert to fraction form
    390,847.50/856,512 = 856,512/x
  3. Step 3: Cross multiply
    390,847.50x = 856,512 × 856,512
  4. Step 4: Simplify right side
    390,847.50x = 733,612,806,144
  5. Step 5: Solve for x
    x = 733,612,806,144/390,847.50
  6. Step 6: Final answer
    x = 1,876,979.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.