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Finding the Third Proportional to 311,976 and 473,796

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Solution

The third proportional to 311,976 and 473,796 is: 719,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976 : 473,796 = 473,796 : x
  2. Step 2: Convert to fraction form
    311,976/473,796 = 473,796/x
  3. Step 3: Cross multiply
    311,976x = 473,796 × 473,796
  4. Step 4: Simplify right side
    311,976x = 224,482,649,616
  5. Step 5: Solve for x
    x = 224,482,649,616/311,976
  6. Step 6: Final answer
    x = 719,551.02

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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.