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Finding the Third Proportional to 494,572.50 and 1,077,715.13

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Solution

The third proportional to 494,572.50 and 1,077,715.13 is: 2,348,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,572.50 : 1,077,715.13 = 1,077,715.13 : x
  2. Step 2: Convert to fraction form
    494,572.50/1,077,715.13 = 1,077,715.13/x
  3. Step 3: Cross multiply
    494,572.50x = 1,077,715.13 × 1,077,715.13
  4. Step 4: Simplify right side
    494,572.50x = 1,161,469,890,653.77
  5. Step 5: Solve for x
    x = 1,161,469,890,653.77/494,572.50
  6. Step 6: Final answer
    x = 2,348,432.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.