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Finding the Third Proportional to 254,704.50 and 553,635

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Solution

The third proportional to 254,704.50 and 553,635 is: 1,203,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,704.50 : 553,635 = 553,635 : x
  2. Step 2: Convert to fraction form
    254,704.50/553,635 = 553,635/x
  3. Step 3: Cross multiply
    254,704.50x = 553,635 × 553,635
  4. Step 4: Simplify right side
    254,704.50x = 306,511,713,225
  5. Step 5: Solve for x
    x = 306,511,713,225/254,704.50
  6. Step 6: Final answer
    x = 1,203,401.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.