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Finding the Third Proportional to 295,938 and 652,198

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Solution

The third proportional to 295,938 and 652,198 is: 1,437,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,938 : 652,198 = 652,198 : x
  2. Step 2: Convert to fraction form
    295,938/652,198 = 652,198/x
  3. Step 3: Cross multiply
    295,938x = 652,198 × 652,198
  4. Step 4: Simplify right side
    295,938x = 425,362,231,204
  5. Step 5: Solve for x
    x = 425,362,231,204/295,938
  6. Step 6: Final answer
    x = 1,437,335.63

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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.