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Finding the Third Proportional to 313,125 and 697,965

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Solution

The third proportional to 313,125 and 697,965 is: 1,555,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,125 : 697,965 = 697,965 : x
  2. Step 2: Convert to fraction form
    313,125/697,965 = 697,965/x
  3. Step 3: Cross multiply
    313,125x = 697,965 × 697,965
  4. Step 4: Simplify right side
    313,125x = 487,155,141,225
  5. Step 5: Solve for x
    x = 487,155,141,225/313,125
  6. Step 6: Final answer
    x = 1,555,784.88

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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.