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Finding the Third Proportional to 263,260.13 and 568,549.13

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Solution

The third proportional to 263,260.13 and 568,549.13 is: 1,227,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 568,549.13 = 568,549.13 : x
  2. Step 2: Convert to fraction form
    263,260.13/568,549.13 = 568,549.13/x
  3. Step 3: Cross multiply
    263,260.13x = 568,549.13 × 568,549.13
  4. Step 4: Simplify right side
    263,260.13x = 323,248,107,538.27
  5. Step 5: Solve for x
    x = 323,248,107,538.27/263,260.13
  6. Step 6: Final answer
    x = 1,227,865.81

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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.