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Finding the Third Proportional to 367,164 and 517,056

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Solution

The third proportional to 367,164 and 517,056 is: 728,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,164 : 517,056 = 517,056 : x
  2. Step 2: Convert to fraction form
    367,164/517,056 = 517,056/x
  3. Step 3: Cross multiply
    367,164x = 517,056 × 517,056
  4. Step 4: Simplify right side
    367,164x = 267,346,907,136
  5. Step 5: Solve for x
    x = 267,346,907,136/367,164
  6. Step 6: Final answer
    x = 728,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.