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Finding the Third Proportional to 272,630 and 558,859

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Solution

The third proportional to 272,630 and 558,859 is: 1,145,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,630 : 558,859 = 558,859 : x
  2. Step 2: Convert to fraction form
    272,630/558,859 = 558,859/x
  3. Step 3: Cross multiply
    272,630x = 558,859 × 558,859
  4. Step 4: Simplify right side
    272,630x = 312,323,381,881
  5. Step 5: Solve for x
    x = 312,323,381,881/272,630
  6. Step 6: Final answer
    x = 1,145,594.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.