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Finding the Third Proportional to 202,468 and 443,074

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Solution

The third proportional to 202,468 and 443,074 is: 969,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468 : 443,074 = 443,074 : x
  2. Step 2: Convert to fraction form
    202,468/443,074 = 443,074/x
  3. Step 3: Cross multiply
    202,468x = 443,074 × 443,074
  4. Step 4: Simplify right side
    202,468x = 196,314,569,476
  5. Step 5: Solve for x
    x = 196,314,569,476/202,468
  6. Step 6: Final answer
    x = 969,607.89

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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.