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Finding the Third Proportional to 237,928 and 528,344

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Solution

The third proportional to 237,928 and 528,344 is: 1,173,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,928 : 528,344 = 528,344 : x
  2. Step 2: Convert to fraction form
    237,928/528,344 = 528,344/x
  3. Step 3: Cross multiply
    237,928x = 528,344 × 528,344
  4. Step 4: Simplify right side
    237,928x = 279,147,382,336
  5. Step 5: Solve for x
    x = 279,147,382,336/237,928
  6. Step 6: Final answer
    x = 1,173,243.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.