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Finding the Third Proportional to 306,398.25 and 472,520.25

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Solution

The third proportional to 306,398.25 and 472,520.25 is: 728,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,398.25 : 472,520.25 = 472,520.25 : x
  2. Step 2: Convert to fraction form
    306,398.25/472,520.25 = 472,520.25/x
  3. Step 3: Cross multiply
    306,398.25x = 472,520.25 × 472,520.25
  4. Step 4: Simplify right side
    306,398.25x = 223,275,386,660.06
  5. Step 5: Solve for x
    x = 223,275,386,660.06/306,398.25
  6. Step 6: Final answer
    x = 728,709.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.