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Finding the Third Proportional to 332,205 and 515,370.75

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Solution

The third proportional to 332,205 and 515,370.75 is: 799,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,205 : 515,370.75 = 515,370.75 : x
  2. Step 2: Convert to fraction form
    332,205/515,370.75 = 515,370.75/x
  3. Step 3: Cross multiply
    332,205x = 515,370.75 × 515,370.75
  4. Step 4: Simplify right side
    332,205x = 265,607,009,955.56
  5. Step 5: Solve for x
    x = 265,607,009,955.56/332,205
  6. Step 6: Final answer
    x = 799,527.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.