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Finding the Third Proportional to 317,673 and 697,554

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Solution

The third proportional to 317,673 and 697,554 is: 1,531,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,673 : 697,554 = 697,554 : x
  2. Step 2: Convert to fraction form
    317,673/697,554 = 697,554/x
  3. Step 3: Cross multiply
    317,673x = 697,554 × 697,554
  4. Step 4: Simplify right side
    317,673x = 486,581,582,916
  5. Step 5: Solve for x
    x = 486,581,582,916/317,673
  6. Step 6: Final answer
    x = 1,531,705.82

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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.