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Finding the Third Proportional to 317,852 and 480,016

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Solution

The third proportional to 317,852 and 480,016 is: 724,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,852 : 480,016 = 480,016 : x
  2. Step 2: Convert to fraction form
    317,852/480,016 = 480,016/x
  3. Step 3: Cross multiply
    317,852x = 480,016 × 480,016
  4. Step 4: Simplify right side
    317,852x = 230,415,360,256
  5. Step 5: Solve for x
    x = 230,415,360,256/317,852
  6. Step 6: Final answer
    x = 724,913.99

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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.