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Finding the Third Proportional to 200,850 and 432,824

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Solution

The third proportional to 200,850 and 432,824 is: 932,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,850 : 432,824 = 432,824 : x
  2. Step 2: Convert to fraction form
    200,850/432,824 = 432,824/x
  3. Step 3: Cross multiply
    200,850x = 432,824 × 432,824
  4. Step 4: Simplify right side
    200,850x = 187,336,614,976
  5. Step 5: Solve for x
    x = 187,336,614,976/200,850
  6. Step 6: Final answer
    x = 932,719.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.