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Finding the Third Proportional to 263,253.38 and 568,535.63

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Solution

The third proportional to 263,253.38 and 568,535.63 is: 1,227,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,253.38 : 568,535.63 = 568,535.63 : x
  2. Step 2: Convert to fraction form
    263,253.38/568,535.63 = 568,535.63/x
  3. Step 3: Cross multiply
    263,253.38x = 568,535.63 × 568,535.63
  4. Step 4: Simplify right side
    263,253.38x = 323,232,756,894.14
  5. Step 5: Solve for x
    x = 323,232,756,894.14/263,253.38
  6. Step 6: Final answer
    x = 1,227,838.99

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