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Finding the Third Proportional to 401,868 and 547,275

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Solution

The third proportional to 401,868 and 547,275 is: 745,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,868 : 547,275 = 547,275 : x
  2. Step 2: Convert to fraction form
    401,868/547,275 = 547,275/x
  3. Step 3: Cross multiply
    401,868x = 547,275 × 547,275
  4. Step 4: Simplify right side
    401,868x = 299,509,925,625
  5. Step 5: Solve for x
    x = 299,509,925,625/401,868
  6. Step 6: Final answer
    x = 745,294.29

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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.