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Finding the Third Proportional to 317,859.50 and 480,029

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Solution

The third proportional to 317,859.50 and 480,029 is: 724,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,859.50 : 480,029 = 480,029 : x
  2. Step 2: Convert to fraction form
    317,859.50/480,029 = 480,029/x
  3. Step 3: Cross multiply
    317,859.50x = 480,029 × 480,029
  4. Step 4: Simplify right side
    317,859.50x = 230,427,840,841
  5. Step 5: Solve for x
    x = 230,427,840,841/317,859.50
  6. Step 6: Final answer
    x = 724,936.15

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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.