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Finding the Third Proportional to 281,760.50 and 412,526

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Solution

The third proportional to 281,760.50 and 412,526 is: 603,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760.50 : 412,526 = 412,526 : x
  2. Step 2: Convert to fraction form
    281,760.50/412,526 = 412,526/x
  3. Step 3: Cross multiply
    281,760.50x = 412,526 × 412,526
  4. Step 4: Simplify right side
    281,760.50x = 170,177,700,676
  5. Step 5: Solve for x
    x = 170,177,700,676/281,760.50
  6. Step 6: Final answer
    x = 603,979.98

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