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Finding the Third Proportional to 306,524 and 460,212

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Solution

The third proportional to 306,524 and 460,212 is: 690,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,524 : 460,212 = 460,212 : x
  2. Step 2: Convert to fraction form
    306,524/460,212 = 460,212/x
  3. Step 3: Cross multiply
    306,524x = 460,212 × 460,212
  4. Step 4: Simplify right side
    306,524x = 211,795,084,944
  5. Step 5: Solve for x
    x = 211,795,084,944/306,524
  6. Step 6: Final answer
    x = 690,957.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.