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Finding the Third Proportional to 270,601 and 587,316

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Solution

The third proportional to 270,601 and 587,316 is: 1,274,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,601 : 587,316 = 587,316 : x
  2. Step 2: Convert to fraction form
    270,601/587,316 = 587,316/x
  3. Step 3: Cross multiply
    270,601x = 587,316 × 587,316
  4. Step 4: Simplify right side
    270,601x = 344,940,083,856
  5. Step 5: Solve for x
    x = 344,940,083,856/270,601
  6. Step 6: Final answer
    x = 1,274,718.44

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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.