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Finding the Third Proportional to 317,851 and 480,017

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Solution

The third proportional to 317,851 and 480,017 is: 724,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,851 : 480,017 = 480,017 : x
  2. Step 2: Convert to fraction form
    317,851/480,017 = 480,017/x
  3. Step 3: Cross multiply
    317,851x = 480,017 × 480,017
  4. Step 4: Simplify right side
    317,851x = 230,416,320,289
  5. Step 5: Solve for x
    x = 230,416,320,289/317,851
  6. Step 6: Final answer
    x = 724,919.29

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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.