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Finding the Third Proportional to 296,667 and 460,215

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Solution

The third proportional to 296,667 and 460,215 is: 713,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,667 : 460,215 = 460,215 : x
  2. Step 2: Convert to fraction form
    296,667/460,215 = 460,215/x
  3. Step 3: Cross multiply
    296,667x = 460,215 × 460,215
  4. Step 4: Simplify right side
    296,667x = 211,797,846,225
  5. Step 5: Solve for x
    x = 211,797,846,225/296,667
  6. Step 6: Final answer
    x = 713,924.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.