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Finding the Third Proportional to 685,861.50 and 925,192.50

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Solution

The third proportional to 685,861.50 and 925,192.50 is: 1,248,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,861.50 : 925,192.50 = 925,192.50 : x
  2. Step 2: Convert to fraction form
    685,861.50/925,192.50 = 925,192.50/x
  3. Step 3: Cross multiply
    685,861.50x = 925,192.50 × 925,192.50
  4. Step 4: Simplify right side
    685,861.50x = 855,981,162,056.25
  5. Step 5: Solve for x
    x = 855,981,162,056.25/685,861.50
  6. Step 6: Final answer
    x = 1,248,037.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.