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Finding the Third Proportional to 237,616 and 514,016

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Solution

The third proportional to 237,616 and 514,016 is: 1,111,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,616 : 514,016 = 514,016 : x
  2. Step 2: Convert to fraction form
    237,616/514,016 = 514,016/x
  3. Step 3: Cross multiply
    237,616x = 514,016 × 514,016
  4. Step 4: Simplify right side
    237,616x = 264,212,448,256
  5. Step 5: Solve for x
    x = 264,212,448,256/237,616
  6. Step 6: Final answer
    x = 1,111,930.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.