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Finding the Third Proportional to 412,942.50 and 581,527.13

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Solution

The third proportional to 412,942.50 and 581,527.13 is: 818,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,942.50 : 581,527.13 = 581,527.13 : x
  2. Step 2: Convert to fraction form
    412,942.50/581,527.13 = 581,527.13/x
  3. Step 3: Cross multiply
    412,942.50x = 581,527.13 × 581,527.13
  4. Step 4: Simplify right side
    412,942.50x = 338,173,797,110.77
  5. Step 5: Solve for x
    x = 338,173,797,110.77/412,942.50
  6. Step 6: Final answer
    x = 818,936.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.