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Finding the Third Proportional to 375,516 and 834,993

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Solution

The third proportional to 375,516 and 834,993 is: 1,856,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,516 : 834,993 = 834,993 : x
  2. Step 2: Convert to fraction form
    375,516/834,993 = 834,993/x
  3. Step 3: Cross multiply
    375,516x = 834,993 × 834,993
  4. Step 4: Simplify right side
    375,516x = 697,213,310,049
  5. Step 5: Solve for x
    x = 697,213,310,049/375,516
  6. Step 6: Final answer
    x = 1,856,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.