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Finding the Third Proportional to 202,593 and 469,026

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Solution

The third proportional to 202,593 and 469,026 is: 1,085,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,593 : 469,026 = 469,026 : x
  2. Step 2: Convert to fraction form
    202,593/469,026 = 469,026/x
  3. Step 3: Cross multiply
    202,593x = 469,026 × 469,026
  4. Step 4: Simplify right side
    202,593x = 219,985,388,676
  5. Step 5: Solve for x
    x = 219,985,388,676/202,593
  6. Step 6: Final answer
    x = 1,085,848.91

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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.