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Finding the Third Proportional to 270,101 and 581,186

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Solution

The third proportional to 270,101 and 581,186 is: 1,250,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,101 : 581,186 = 581,186 : x
  2. Step 2: Convert to fraction form
    270,101/581,186 = 581,186/x
  3. Step 3: Cross multiply
    270,101x = 581,186 × 581,186
  4. Step 4: Simplify right side
    270,101x = 337,777,166,596
  5. Step 5: Solve for x
    x = 337,777,166,596/270,101
  6. Step 6: Final answer
    x = 1,250,558.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.