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Finding the Third Proportional to 304,456.22 and 463,865.48

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Solution

The third proportional to 304,456.22 and 463,865.48 is: 706,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,456.22 : 463,865.48 = 463,865.48 : x
  2. Step 2: Convert to fraction form
    304,456.22/463,865.48 = 463,865.48/x
  3. Step 3: Cross multiply
    304,456.22x = 463,865.48 × 463,865.48
  4. Step 4: Simplify right side
    304,456.22x = 215,171,187,594.45
  5. Step 5: Solve for x
    x = 215,171,187,594.45/304,456.22
  6. Step 6: Final answer
    x = 706,739.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.