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Finding the Third Proportional to 236,268 and 514,008

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Solution

The third proportional to 236,268 and 514,008 is: 1,118,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,268 : 514,008 = 514,008 : x
  2. Step 2: Convert to fraction form
    236,268/514,008 = 514,008/x
  3. Step 3: Cross multiply
    236,268x = 514,008 × 514,008
  4. Step 4: Simplify right side
    236,268x = 264,204,224,064
  5. Step 5: Solve for x
    x = 264,204,224,064/236,268
  6. Step 6: Final answer
    x = 1,118,239.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.