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Finding the Third Proportional to 524,772 and 1,144,408.50

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Solution

The third proportional to 524,772 and 1,144,408.50 is: 2,495,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,772 : 1,144,408.50 = 1,144,408.50 : x
  2. Step 2: Convert to fraction form
    524,772/1,144,408.50 = 1,144,408.50/x
  3. Step 3: Cross multiply
    524,772x = 1,144,408.50 × 1,144,408.50
  4. Step 4: Simplify right side
    524,772x = 1,309,670,814,872.25
  5. Step 5: Solve for x
    x = 1,309,670,814,872.25/524,772
  6. Step 6: Final answer
    x = 2,495,694.92

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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.