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Finding the Third Proportional to 401,861.25 and 547,266.38

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Solution

The third proportional to 401,861.25 and 547,266.38 is: 745,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,861.25 : 547,266.38 = 547,266.38 : x
  2. Step 2: Convert to fraction form
    401,861.25/547,266.38 = 547,266.38/x
  3. Step 3: Cross multiply
    401,861.25x = 547,266.38 × 547,266.38
  4. Step 4: Simplify right side
    401,861.25x = 299,500,485,205.64
  5. Step 5: Solve for x
    x = 299,500,485,205.64/401,861.25
  6. Step 6: Final answer
    x = 745,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.