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Finding the Third Proportional to 337,187.25 and 509,355

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Solution

The third proportional to 337,187.25 and 509,355 is: 769,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,187.25 : 509,355 = 509,355 : x
  2. Step 2: Convert to fraction form
    337,187.25/509,355 = 509,355/x
  3. Step 3: Cross multiply
    337,187.25x = 509,355 × 509,355
  4. Step 4: Simplify right side
    337,187.25x = 259,442,516,025
  5. Step 5: Solve for x
    x = 259,442,516,025/337,187.25
  6. Step 6: Final answer
    x = 769,431.57

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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.