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Finding the Third Proportional to 337,530 and 720,258.75

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Solution

The third proportional to 337,530 and 720,258.75 is: 1,536,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,530 : 720,258.75 = 720,258.75 : x
  2. Step 2: Convert to fraction form
    337,530/720,258.75 = 720,258.75/x
  3. Step 3: Cross multiply
    337,530x = 720,258.75 × 720,258.75
  4. Step 4: Simplify right side
    337,530x = 518,772,666,951.56
  5. Step 5: Solve for x
    x = 518,772,666,951.56/337,530
  6. Step 6: Final answer
    x = 1,536,967.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.