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Finding the Third Proportional to 317,855 and 480,023

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Solution

The third proportional to 317,855 and 480,023 is: 724,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,855 : 480,023 = 480,023 : x
  2. Step 2: Convert to fraction form
    317,855/480,023 = 480,023/x
  3. Step 3: Cross multiply
    317,855x = 480,023 × 480,023
  4. Step 4: Simplify right side
    317,855x = 230,422,080,529
  5. Step 5: Solve for x
    x = 230,422,080,529/317,855
  6. Step 6: Final answer
    x = 724,928.29

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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.