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Finding the Third Proportional to 263,246.63 and 568,522.13

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Solution

The third proportional to 263,246.63 and 568,522.13 is: 1,227,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,246.63 : 568,522.13 = 568,522.13 : x
  2. Step 2: Convert to fraction form
    263,246.63/568,522.13 = 568,522.13/x
  3. Step 3: Cross multiply
    263,246.63x = 568,522.13 × 568,522.13
  4. Step 4: Simplify right side
    263,246.63x = 323,217,406,614.52
  5. Step 5: Solve for x
    x = 323,217,406,614.52/263,246.63
  6. Step 6: Final answer
    x = 1,227,812.16

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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.