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Finding the Third Proportional to 317,849 and 480,014

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Solution

The third proportional to 317,849 and 480,014 is: 724,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,849 : 480,014 = 480,014 : x
  2. Step 2: Convert to fraction form
    317,849/480,014 = 480,014/x
  3. Step 3: Cross multiply
    317,849x = 480,014 × 480,014
  4. Step 4: Simplify right side
    317,849x = 230,413,440,196
  5. Step 5: Solve for x
    x = 230,413,440,196/317,849
  6. Step 6: Final answer
    x = 724,914.79

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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.