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Finding the Third Proportional to 270,586.69 and 587,282.63

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Solution

The third proportional to 270,586.69 and 587,282.63 is: 1,274,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.69 : 587,282.63 = 587,282.63 : x
  2. Step 2: Convert to fraction form
    270,586.69/587,282.63 = 587,282.63/x
  3. Step 3: Cross multiply
    270,586.69x = 587,282.63 × 587,282.63
  4. Step 4: Simplify right side
    270,586.69x = 344,900,881,626.89
  5. Step 5: Solve for x
    x = 344,900,881,626.89/270,586.69
  6. Step 6: Final answer
    x = 1,274,640.98

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Why These Related Problems?

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