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Finding the Third Proportional to 313,328 and 477,348

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Solution

The third proportional to 313,328 and 477,348 is: 727,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,328 : 477,348 = 477,348 : x
  2. Step 2: Convert to fraction form
    313,328/477,348 = 477,348/x
  3. Step 3: Cross multiply
    313,328x = 477,348 × 477,348
  4. Step 4: Simplify right side
    313,328x = 227,861,113,104
  5. Step 5: Solve for x
    x = 227,861,113,104/313,328
  6. Step 6: Final answer
    x = 727,228.70

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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.