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Finding the Third Proportional to 401,884 and 547,299

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Solution

The third proportional to 401,884 and 547,299 is: 745,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,884 : 547,299 = 547,299 : x
  2. Step 2: Convert to fraction form
    401,884/547,299 = 547,299/x
  3. Step 3: Cross multiply
    401,884x = 547,299 × 547,299
  4. Step 4: Simplify right side
    401,884x = 299,536,195,401
  5. Step 5: Solve for x
    x = 299,536,195,401/401,884
  6. Step 6: Final answer
    x = 745,329.98

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