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Finding the Third Proportional to 300,612 and 466,107

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Solution

The third proportional to 300,612 and 466,107 is: 722,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,612 : 466,107 = 466,107 : x
  2. Step 2: Convert to fraction form
    300,612/466,107 = 466,107/x
  3. Step 3: Cross multiply
    300,612x = 466,107 × 466,107
  4. Step 4: Simplify right side
    300,612x = 217,255,735,449
  5. Step 5: Solve for x
    x = 217,255,735,449/300,612
  6. Step 6: Final answer
    x = 722,711.45

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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.