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Finding the Third Proportional to 385,508.53 and 835,371.56

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Solution

The third proportional to 385,508.53 and 835,371.56 is: 1,810,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,508.53 : 835,371.56 = 835,371.56 : x
  2. Step 2: Convert to fraction form
    385,508.53/835,371.56 = 835,371.56/x
  3. Step 3: Cross multiply
    385,508.53x = 835,371.56 × 835,371.56
  4. Step 4: Simplify right side
    385,508.53x = 697,845,647,433.69
  5. Step 5: Solve for x
    x = 697,845,647,433.69/385,508.53
  6. Step 6: Final answer
    x = 1,810,195.08

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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.