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Finding the Third Proportional to 533,544.75 and 813,663

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Solution

The third proportional to 533,544.75 and 813,663 is: 1,240,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,544.75 : 813,663 = 813,663 : x
  2. Step 2: Convert to fraction form
    533,544.75/813,663 = 813,663/x
  3. Step 3: Cross multiply
    533,544.75x = 813,663 × 813,663
  4. Step 4: Simplify right side
    533,544.75x = 662,047,477,569
  5. Step 5: Solve for x
    x = 662,047,477,569/533,544.75
  6. Step 6: Final answer
    x = 1,240,847.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.