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Finding the Third Proportional to 401,493.38 and 591,143.06

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Solution

The third proportional to 401,493.38 and 591,143.06 is: 870,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,493.38 : 591,143.06 = 591,143.06 : x
  2. Step 2: Convert to fraction form
    401,493.38/591,143.06 = 591,143.06/x
  3. Step 3: Cross multiply
    401,493.38x = 591,143.06 × 591,143.06
  4. Step 4: Simplify right side
    401,493.38x = 349,450,120,341.88
  5. Step 5: Solve for x
    x = 349,450,120,341.88/401,493.38
  6. Step 6: Final answer
    x = 870,375.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.