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Finding the Third Proportional to 385,512.75 and 835,381.13

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Solution

The third proportional to 385,512.75 and 835,381.13 is: 1,810,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,512.75 : 835,381.13 = 835,381.13 : x
  2. Step 2: Convert to fraction form
    385,512.75/835,381.13 = 835,381.13/x
  3. Step 3: Cross multiply
    385,512.75x = 835,381.13 × 835,381.13
  4. Step 4: Simplify right side
    385,512.75x = 697,861,624,006.27
  5. Step 5: Solve for x
    x = 697,861,624,006.27/385,512.75
  6. Step 6: Final answer
    x = 1,810,216.72

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Why These Related Problems?

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