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Finding the Third Proportional to 332,126 and 728,086

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Solution

The third proportional to 332,126 and 728,086 is: 1,596,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,126 : 728,086 = 728,086 : x
  2. Step 2: Convert to fraction form
    332,126/728,086 = 728,086/x
  3. Step 3: Cross multiply
    332,126x = 728,086 × 728,086
  4. Step 4: Simplify right side
    332,126x = 530,109,223,396
  5. Step 5: Solve for x
    x = 530,109,223,396/332,126
  6. Step 6: Final answer
    x = 1,596,108.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.