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Finding the Third Proportional to 268,276.50 and 568,534.50

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Solution

The third proportional to 268,276.50 and 568,534.50 is: 1,204,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,276.50 : 568,534.50 = 568,534.50 : x
  2. Step 2: Convert to fraction form
    268,276.50/568,534.50 = 568,534.50/x
  3. Step 3: Cross multiply
    268,276.50x = 568,534.50 × 568,534.50
  4. Step 4: Simplify right side
    268,276.50x = 323,231,477,690.25
  5. Step 5: Solve for x
    x = 323,231,477,690.25/268,276.50
  6. Step 6: Final answer
    x = 1,204,844.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.