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Finding the Third Proportional to 313,139.25 and 697,995

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Solution

The third proportional to 313,139.25 and 697,995 is: 1,555,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,139.25 : 697,995 = 697,995 : x
  2. Step 2: Convert to fraction form
    313,139.25/697,995 = 697,995/x
  3. Step 3: Cross multiply
    313,139.25x = 697,995 × 697,995
  4. Step 4: Simplify right side
    313,139.25x = 487,197,020,025
  5. Step 5: Solve for x
    x = 487,197,020,025/313,139.25
  6. Step 6: Final answer
    x = 1,555,847.82

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