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Finding the Third Proportional to 385,861.50 and 835,875

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Solution

The third proportional to 385,861.50 and 835,875 is: 1,810,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,861.50 : 835,875 = 835,875 : x
  2. Step 2: Convert to fraction form
    385,861.50/835,875 = 835,875/x
  3. Step 3: Cross multiply
    385,861.50x = 835,875 × 835,875
  4. Step 4: Simplify right side
    385,861.50x = 698,687,015,625
  5. Step 5: Solve for x
    x = 698,687,015,625/385,861.50
  6. Step 6: Final answer
    x = 1,810,719.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.