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Finding the Third Proportional to 313,283 and 477,269

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Solution

The third proportional to 313,283 and 477,269 is: 727,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,283 : 477,269 = 477,269 : x
  2. Step 2: Convert to fraction form
    313,283/477,269 = 477,269/x
  3. Step 3: Cross multiply
    313,283x = 477,269 × 477,269
  4. Step 4: Simplify right side
    313,283x = 227,785,698,361
  5. Step 5: Solve for x
    x = 227,785,698,361/313,283
  6. Step 6: Final answer
    x = 727,092.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.