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Finding the Third Proportional to 221,704.50 and 484,816.50

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Solution

The third proportional to 221,704.50 and 484,816.50 is: 1,060,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,704.50 : 484,816.50 = 484,816.50 : x
  2. Step 2: Convert to fraction form
    221,704.50/484,816.50 = 484,816.50/x
  3. Step 3: Cross multiply
    221,704.50x = 484,816.50 × 484,816.50
  4. Step 4: Simplify right side
    221,704.50x = 235,047,038,672.25
  5. Step 5: Solve for x
    x = 235,047,038,672.25/221,704.50
  6. Step 6: Final answer
    x = 1,060,181.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.