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Finding the Third Proportional to 401,950.13 and 862,179.75

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Solution

The third proportional to 401,950.13 and 862,179.75 is: 1,849,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,950.13 : 862,179.75 = 862,179.75 : x
  2. Step 2: Convert to fraction form
    401,950.13/862,179.75 = 862,179.75/x
  3. Step 3: Cross multiply
    401,950.13x = 862,179.75 × 862,179.75
  4. Step 4: Simplify right side
    401,950.13x = 743,353,921,310.06
  5. Step 5: Solve for x
    x = 743,353,921,310.06/401,950.13
  6. Step 6: Final answer
    x = 1,849,368.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.