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Finding the Third Proportional to 619,366.50 and 905,145

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Solution

The third proportional to 619,366.50 and 905,145 is: 1,322,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,366.50 : 905,145 = 905,145 : x
  2. Step 2: Convert to fraction form
    619,366.50/905,145 = 905,145/x
  3. Step 3: Cross multiply
    619,366.50x = 905,145 × 905,145
  4. Step 4: Simplify right side
    619,366.50x = 819,287,471,025
  5. Step 5: Solve for x
    x = 819,287,471,025/619,366.50
  6. Step 6: Final answer
    x = 1,322,782.99

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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.