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Finding the Third Proportional to 332,529.50 and 486,997

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Solution

The third proportional to 332,529.50 and 486,997 is: 713,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,529.50 : 486,997 = 486,997 : x
  2. Step 2: Convert to fraction form
    332,529.50/486,997 = 486,997/x
  3. Step 3: Cross multiply
    332,529.50x = 486,997 × 486,997
  4. Step 4: Simplify right side
    332,529.50x = 237,166,078,009
  5. Step 5: Solve for x
    x = 237,166,078,009/332,529.50
  6. Step 6: Final answer
    x = 713,218.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.