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Finding the Third Proportional to 263,396.81 and 568,270.69

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Solution

The third proportional to 263,396.81 and 568,270.69 is: 1,226,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,396.81 : 568,270.69 = 568,270.69 : x
  2. Step 2: Convert to fraction form
    263,396.81/568,270.69 = 568,270.69/x
  3. Step 3: Cross multiply
    263,396.81x = 568,270.69 × 568,270.69
  4. Step 4: Simplify right side
    263,396.81x = 322,931,574,271.72
  5. Step 5: Solve for x
    x = 322,931,574,271.72/263,396.81
  6. Step 6: Final answer
    x = 1,226,026.89

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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.