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Finding the Third Proportional to 308,554 and 466,120

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Solution

The third proportional to 308,554 and 466,120 is: 704,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,554 : 466,120 = 466,120 : x
  2. Step 2: Convert to fraction form
    308,554/466,120 = 466,120/x
  3. Step 3: Cross multiply
    308,554x = 466,120 × 466,120
  4. Step 4: Simplify right side
    308,554x = 217,267,854,400
  5. Step 5: Solve for x
    x = 217,267,854,400/308,554
  6. Step 6: Final answer
    x = 704,148.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.