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Finding the Third Proportional to 332,527.50 and 486,994

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Solution

The third proportional to 332,527.50 and 486,994 is: 713,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,527.50 : 486,994 = 486,994 : x
  2. Step 2: Convert to fraction form
    332,527.50/486,994 = 486,994/x
  3. Step 3: Cross multiply
    332,527.50x = 486,994 × 486,994
  4. Step 4: Simplify right side
    332,527.50x = 237,163,156,036
  5. Step 5: Solve for x
    x = 237,163,156,036/332,527.50
  6. Step 6: Final answer
    x = 713,213.66

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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.