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Finding the Third Proportional to 385,508 and 835,371

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Solution

The third proportional to 385,508 and 835,371 is: 1,810,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,508 : 835,371 = 835,371 : x
  2. Step 2: Convert to fraction form
    385,508/835,371 = 835,371/x
  3. Step 3: Cross multiply
    385,508x = 835,371 × 835,371
  4. Step 4: Simplify right side
    385,508x = 697,844,707,641
  5. Step 5: Solve for x
    x = 697,844,707,641/385,508
  6. Step 6: Final answer
    x = 1,810,195.14

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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.