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Finding the Third Proportional to 337,632.75 and 515,022.75

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Solution

The third proportional to 337,632.75 and 515,022.75 is: 785,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,632.75 : 515,022.75 = 515,022.75 : x
  2. Step 2: Convert to fraction form
    337,632.75/515,022.75 = 515,022.75/x
  3. Step 3: Cross multiply
    337,632.75x = 515,022.75 × 515,022.75
  4. Step 4: Simplify right side
    337,632.75x = 265,248,433,017.56
  5. Step 5: Solve for x
    x = 265,248,433,017.56/337,632.75
  6. Step 6: Final answer
    x = 785,612.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.