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Finding the Third Proportional to 263,099.39 and 568,298.53

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Solution

The third proportional to 263,099.39 and 568,298.53 is: 1,227,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,099.39 : 568,298.53 = 568,298.53 : x
  2. Step 2: Convert to fraction form
    263,099.39/568,298.53 = 568,298.53/x
  3. Step 3: Cross multiply
    263,099.39x = 568,298.53 × 568,298.53
  4. Step 4: Simplify right side
    263,099.39x = 322,963,220,620.91
  5. Step 5: Solve for x
    x = 322,963,220,620.91/263,099.39
  6. Step 6: Final answer
    x = 1,227,533.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.