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Finding the Third Proportional to 317,898 and 480,087

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Solution

The third proportional to 317,898 and 480,087 is: 725,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,898 : 480,087 = 480,087 : x
  2. Step 2: Convert to fraction form
    317,898/480,087 = 480,087/x
  3. Step 3: Cross multiply
    317,898x = 480,087 × 480,087
  4. Step 4: Simplify right side
    317,898x = 230,483,527,569
  5. Step 5: Solve for x
    x = 230,483,527,569/317,898
  6. Step 6: Final answer
    x = 725,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.