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Finding the Third Proportional to 317,844 and 480,006

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Solution

The third proportional to 317,844 and 480,006 is: 724,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,844 : 480,006 = 480,006 : x
  2. Step 2: Convert to fraction form
    317,844/480,006 = 480,006/x
  3. Step 3: Cross multiply
    317,844x = 480,006 × 480,006
  4. Step 4: Simplify right side
    317,844x = 230,405,760,036
  5. Step 5: Solve for x
    x = 230,405,760,036/317,844
  6. Step 6: Final answer
    x = 724,902.03

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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.