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Finding the Third Proportional to 617,967 and 827,685

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Solution

The third proportional to 617,967 and 827,685 is: 1,108,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,967 : 827,685 = 827,685 : x
  2. Step 2: Convert to fraction form
    617,967/827,685 = 827,685/x
  3. Step 3: Cross multiply
    617,967x = 827,685 × 827,685
  4. Step 4: Simplify right side
    617,967x = 685,062,459,225
  5. Step 5: Solve for x
    x = 685,062,459,225/617,967
  6. Step 6: Final answer
    x = 1,108,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.