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Finding the Third Proportional to 317,224 and 689,744

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Solution

The third proportional to 317,224 and 689,744 is: 1,499,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,224 : 689,744 = 689,744 : x
  2. Step 2: Convert to fraction form
    317,224/689,744 = 689,744/x
  3. Step 3: Cross multiply
    317,224x = 689,744 × 689,744
  4. Step 4: Simplify right side
    317,224x = 475,746,785,536
  5. Step 5: Solve for x
    x = 475,746,785,536/317,224
  6. Step 6: Final answer
    x = 1,499,718.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.