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Finding the Third Proportional to 401,176.50 and 835,977

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Solution

The third proportional to 401,176.50 and 835,977 is: 1,742,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,176.50 : 835,977 = 835,977 : x
  2. Step 2: Convert to fraction form
    401,176.50/835,977 = 835,977/x
  3. Step 3: Cross multiply
    401,176.50x = 835,977 × 835,977
  4. Step 4: Simplify right side
    401,176.50x = 698,857,544,529
  5. Step 5: Solve for x
    x = 698,857,544,529/401,176.50
  6. Step 6: Final answer
    x = 1,742,020.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.