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Finding the Third Proportional to 332,152 and 515,726

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Solution

The third proportional to 332,152 and 515,726 is: 800,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,152 : 515,726 = 515,726 : x
  2. Step 2: Convert to fraction form
    332,152/515,726 = 515,726/x
  3. Step 3: Cross multiply
    332,152x = 515,726 × 515,726
  4. Step 4: Simplify right side
    332,152x = 265,973,307,076
  5. Step 5: Solve for x
    x = 265,973,307,076/332,152
  6. Step 6: Final answer
    x = 800,757.81

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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.