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Finding the Third Proportional to 317,896 and 480,084

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Solution

The third proportional to 317,896 and 480,084 is: 725,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,896 : 480,084 = 480,084 : x
  2. Step 2: Convert to fraction form
    317,896/480,084 = 480,084/x
  3. Step 3: Cross multiply
    317,896x = 480,084 × 480,084
  4. Step 4: Simplify right side
    317,896x = 230,480,647,056
  5. Step 5: Solve for x
    x = 230,480,647,056/317,896
  6. Step 6: Final answer
    x = 725,019.02

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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.