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Finding the Third Proportional to 202,505 and 477,420

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Solution

The third proportional to 202,505 and 477,420 is: 1,125,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,505 : 477,420 = 477,420 : x
  2. Step 2: Convert to fraction form
    202,505/477,420 = 477,420/x
  3. Step 3: Cross multiply
    202,505x = 477,420 × 477,420
  4. Step 4: Simplify right side
    202,505x = 227,929,856,400
  5. Step 5: Solve for x
    x = 227,929,856,400/202,505
  6. Step 6: Final answer
    x = 1,125,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.