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Finding the Third Proportional to 202,644 and 469,125

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Solution

The third proportional to 202,644 and 469,125 is: 1,086,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,644 : 469,125 = 469,125 : x
  2. Step 2: Convert to fraction form
    202,644/469,125 = 469,125/x
  3. Step 3: Cross multiply
    202,644x = 469,125 × 469,125
  4. Step 4: Simplify right side
    202,644x = 220,078,265,625
  5. Step 5: Solve for x
    x = 220,078,265,625/202,644
  6. Step 6: Final answer
    x = 1,086,033.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.