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Finding the Third Proportional to 254,319.75 and 548,005.50

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Solution

The third proportional to 254,319.75 and 548,005.50 is: 1,180,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,319.75 : 548,005.50 = 548,005.50 : x
  2. Step 2: Convert to fraction form
    254,319.75/548,005.50 = 548,005.50/x
  3. Step 3: Cross multiply
    254,319.75x = 548,005.50 × 548,005.50
  4. Step 4: Simplify right side
    254,319.75x = 300,310,028,030.25
  5. Step 5: Solve for x
    x = 300,310,028,030.25/254,319.75
  6. Step 6: Final answer
    x = 1,180,836.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.