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Finding the Third Proportional to 200,850 and 428,388

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Solution

The third proportional to 200,850 and 428,388 is: 913,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,850 : 428,388 = 428,388 : x
  2. Step 2: Convert to fraction form
    200,850/428,388 = 428,388/x
  3. Step 3: Cross multiply
    200,850x = 428,388 × 428,388
  4. Step 4: Simplify right side
    200,850x = 183,516,278,544
  5. Step 5: Solve for x
    x = 183,516,278,544/200,850
  6. Step 6: Final answer
    x = 913,698.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.