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Finding the Third Proportional to 401,850.28 and 612,196.59

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Solution

The third proportional to 401,850.28 and 612,196.59 is: 932,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,850.28 : 612,196.59 = 612,196.59 : x
  2. Step 2: Convert to fraction form
    401,850.28/612,196.59 = 612,196.59/x
  3. Step 3: Cross multiply
    401,850.28x = 612,196.59 × 612,196.59
  4. Step 4: Simplify right side
    401,850.28x = 374,784,669,399.10
  5. Step 5: Solve for x
    x = 374,784,669,399.10/401,850.28
  6. Step 6: Final answer
    x = 932,647.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.