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Finding the Third Proportional to 297,764 and 642,212

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Solution

The third proportional to 297,764 and 642,212 is: 1,385,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,764 : 642,212 = 642,212 : x
  2. Step 2: Convert to fraction form
    297,764/642,212 = 642,212/x
  3. Step 3: Cross multiply
    297,764x = 642,212 × 642,212
  4. Step 4: Simplify right side
    297,764x = 412,436,252,944
  5. Step 5: Solve for x
    x = 412,436,252,944/297,764
  6. Step 6: Final answer
    x = 1,385,111.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.