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Finding the Third Proportional to 202,466 and 444,296

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Solution

The third proportional to 202,466 and 444,296 is: 974,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,466 : 444,296 = 444,296 : x
  2. Step 2: Convert to fraction form
    202,466/444,296 = 444,296/x
  3. Step 3: Cross multiply
    202,466x = 444,296 × 444,296
  4. Step 4: Simplify right side
    202,466x = 197,398,935,616
  5. Step 5: Solve for x
    x = 197,398,935,616/202,466
  6. Step 6: Final answer
    x = 974,973.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.