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Finding the Third Proportional to 313,141 and 697,999

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Solution

The third proportional to 313,141 and 697,999 is: 1,555,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,141 : 697,999 = 697,999 : x
  2. Step 2: Convert to fraction form
    313,141/697,999 = 697,999/x
  3. Step 3: Cross multiply
    313,141x = 697,999 × 697,999
  4. Step 4: Simplify right side
    313,141x = 487,202,604,001
  5. Step 5: Solve for x
    x = 487,202,604,001/313,141
  6. Step 6: Final answer
    x = 1,555,856.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.