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Finding the Third Proportional to 213,571 and 469,775

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Solution

The third proportional to 213,571 and 469,775 is: 1,033,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,571 : 469,775 = 469,775 : x
  2. Step 2: Convert to fraction form
    213,571/469,775 = 469,775/x
  3. Step 3: Cross multiply
    213,571x = 469,775 × 469,775
  4. Step 4: Simplify right side
    213,571x = 220,688,550,625
  5. Step 5: Solve for x
    x = 220,688,550,625/213,571
  6. Step 6: Final answer
    x = 1,033,326.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.