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Finding the Third Proportional to 295,586 and 633,172

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Solution

The third proportional to 295,586 and 633,172 is: 1,356,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,586 : 633,172 = 633,172 : x
  2. Step 2: Convert to fraction form
    295,586/633,172 = 633,172/x
  3. Step 3: Cross multiply
    295,586x = 633,172 × 633,172
  4. Step 4: Simplify right side
    295,586x = 400,906,781,584
  5. Step 5: Solve for x
    x = 400,906,781,584/295,586
  6. Step 6: Final answer
    x = 1,356,311.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.