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Finding the Third Proportional to 202,470 and 444,617

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Solution

The third proportional to 202,470 and 444,617 is: 976,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470 : 444,617 = 444,617 : x
  2. Step 2: Convert to fraction form
    202,470/444,617 = 444,617/x
  3. Step 3: Cross multiply
    202,470x = 444,617 × 444,617
  4. Step 4: Simplify right side
    202,470x = 197,684,276,689
  5. Step 5: Solve for x
    x = 197,684,276,689/202,470
  6. Step 6: Final answer
    x = 976,363.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.