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Finding the Third Proportional to 317,856 and 480,022

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Solution

The third proportional to 317,856 and 480,022 is: 724,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,856 : 480,022 = 480,022 : x
  2. Step 2: Convert to fraction form
    317,856/480,022 = 480,022/x
  3. Step 3: Cross multiply
    317,856x = 480,022 × 480,022
  4. Step 4: Simplify right side
    317,856x = 230,421,120,484
  5. Step 5: Solve for x
    x = 230,421,120,484/317,856
  6. Step 6: Final answer
    x = 724,922.99

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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.