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Finding the Third Proportional to 261,776.81 and 568,513.69

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Solution

The third proportional to 261,776.81 and 568,513.69 is: 1,234,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,776.81 : 568,513.69 = 568,513.69 : x
  2. Step 2: Convert to fraction form
    261,776.81/568,513.69 = 568,513.69/x
  3. Step 3: Cross multiply
    261,776.81x = 568,513.69 × 568,513.69
  4. Step 4: Simplify right side
    261,776.81x = 323,207,812,874.85
  5. Step 5: Solve for x
    x = 323,207,812,874.85/261,776.81
  6. Step 6: Final answer
    x = 1,234,669.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.