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Finding the Third Proportional to 325,578 and 697,881

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Solution

The third proportional to 325,578 and 697,881 is: 1,495,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,578 : 697,881 = 697,881 : x
  2. Step 2: Convert to fraction form
    325,578/697,881 = 697,881/x
  3. Step 3: Cross multiply
    325,578x = 697,881 × 697,881
  4. Step 4: Simplify right side
    325,578x = 487,037,890,161
  5. Step 5: Solve for x
    x = 487,037,890,161/325,578
  6. Step 6: Final answer
    x = 1,495,917.69

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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.