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Finding the Third Proportional to 270,578 and 587,804

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Solution

The third proportional to 270,578 and 587,804 is: 1,276,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,578 : 587,804 = 587,804 : x
  2. Step 2: Convert to fraction form
    270,578/587,804 = 587,804/x
  3. Step 3: Cross multiply
    270,578x = 587,804 × 587,804
  4. Step 4: Simplify right side
    270,578x = 345,513,542,416
  5. Step 5: Solve for x
    x = 345,513,542,416/270,578
  6. Step 6: Final answer
    x = 1,276,946.18

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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.