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Finding the Third Proportional to 236,448 and 512,216

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Solution

The third proportional to 236,448 and 512,216 is: 1,109,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,448 : 512,216 = 512,216 : x
  2. Step 2: Convert to fraction form
    236,448/512,216 = 512,216/x
  3. Step 3: Cross multiply
    236,448x = 512,216 × 512,216
  4. Step 4: Simplify right side
    236,448x = 262,365,230,656
  5. Step 5: Solve for x
    x = 262,365,230,656/236,448
  6. Step 6: Final answer
    x = 1,109,610.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.