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Finding the Third Proportional to 332,116 and 502,104

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Solution

The third proportional to 332,116 and 502,104 is: 759,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,116 : 502,104 = 502,104 : x
  2. Step 2: Convert to fraction form
    332,116/502,104 = 502,104/x
  3. Step 3: Cross multiply
    332,116x = 502,104 × 502,104
  4. Step 4: Simplify right side
    332,116x = 252,108,426,816
  5. Step 5: Solve for x
    x = 252,108,426,816/332,116
  6. Step 6: Final answer
    x = 759,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.