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Finding the Third Proportional to 385,601.81 and 835,557.56

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Solution

The third proportional to 385,601.81 and 835,557.56 is: 1,810,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,601.81 : 835,557.56 = 835,557.56 : x
  2. Step 2: Convert to fraction form
    385,601.81/835,557.56 = 835,557.56/x
  3. Step 3: Cross multiply
    385,601.81x = 835,557.56 × 835,557.56
  4. Step 4: Simplify right side
    385,601.81x = 698,156,440,250.94
  5. Step 5: Solve for x
    x = 698,156,440,250.94/385,601.81
  6. Step 6: Final answer
    x = 1,810,563.17

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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.