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Finding the Third Proportional to 295,936 and 652,194

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Solution

The third proportional to 295,936 and 652,194 is: 1,437,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,936 : 652,194 = 652,194 : x
  2. Step 2: Convert to fraction form
    295,936/652,194 = 652,194/x
  3. Step 3: Cross multiply
    295,936x = 652,194 × 652,194
  4. Step 4: Simplify right side
    295,936x = 425,357,013,636
  5. Step 5: Solve for x
    x = 425,357,013,636/295,936
  6. Step 6: Final answer
    x = 1,437,327.71

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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.