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Finding the Third Proportional to 202,585 and 444,049

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Solution

The third proportional to 202,585 and 444,049 is: 973,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,585 : 444,049 = 444,049 : x
  2. Step 2: Convert to fraction form
    202,585/444,049 = 444,049/x
  3. Step 3: Cross multiply
    202,585x = 444,049 × 444,049
  4. Step 4: Simplify right side
    202,585x = 197,179,514,401
  5. Step 5: Solve for x
    x = 197,179,514,401/202,585
  6. Step 6: Final answer
    x = 973,317.44

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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.