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Finding the Third Proportional to 236,403 and 512,184

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Solution

The third proportional to 236,403 and 512,184 is: 1,109,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,403 : 512,184 = 512,184 : x
  2. Step 2: Convert to fraction form
    236,403/512,184 = 512,184/x
  3. Step 3: Cross multiply
    236,403x = 512,184 × 512,184
  4. Step 4: Simplify right side
    236,403x = 262,332,449,856
  5. Step 5: Solve for x
    x = 262,332,449,856/236,403
  6. Step 6: Final answer
    x = 1,109,683.25

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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.