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Finding the Third Proportional to 267,464 and 393,006

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Solution

The third proportional to 267,464 and 393,006 is: 577,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,464 : 393,006 = 393,006 : x
  2. Step 2: Convert to fraction form
    267,464/393,006 = 393,006/x
  3. Step 3: Cross multiply
    267,464x = 393,006 × 393,006
  4. Step 4: Simplify right side
    267,464x = 154,453,716,036
  5. Step 5: Solve for x
    x = 154,453,716,036/267,464
  6. Step 6: Final answer
    x = 577,474.79

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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.