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Finding the Third Proportional to 317,204 and 697,494

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Solution

The third proportional to 317,204 and 697,494 is: 1,533,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,204 : 697,494 = 697,494 : x
  2. Step 2: Convert to fraction form
    317,204/697,494 = 697,494/x
  3. Step 3: Cross multiply
    317,204x = 697,494 × 697,494
  4. Step 4: Simplify right side
    317,204x = 486,497,880,036
  5. Step 5: Solve for x
    x = 486,497,880,036/317,204
  6. Step 6: Final answer
    x = 1,533,706.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.