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Finding the Third Proportional to 325,494 and 486,504

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Solution

The third proportional to 325,494 and 486,504 is: 727,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,494 : 486,504 = 486,504 : x
  2. Step 2: Convert to fraction form
    325,494/486,504 = 486,504/x
  3. Step 3: Cross multiply
    325,494x = 486,504 × 486,504
  4. Step 4: Simplify right side
    325,494x = 236,686,142,016
  5. Step 5: Solve for x
    x = 236,686,142,016/325,494
  6. Step 6: Final answer
    x = 727,159.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.