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Finding the Third Proportional to 325,847 and 697,255

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Solution

The third proportional to 325,847 and 697,255 is: 1,492,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,847 : 697,255 = 697,255 : x
  2. Step 2: Convert to fraction form
    325,847/697,255 = 697,255/x
  3. Step 3: Cross multiply
    325,847x = 697,255 × 697,255
  4. Step 4: Simplify right side
    325,847x = 486,164,535,025
  5. Step 5: Solve for x
    x = 486,164,535,025/325,847
  6. Step 6: Final answer
    x = 1,492,002.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.