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Finding the Third Proportional to 271,933 and 583,230

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Solution

The third proportional to 271,933 and 583,230 is: 1,250,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,933 : 583,230 = 583,230 : x
  2. Step 2: Convert to fraction form
    271,933/583,230 = 583,230/x
  3. Step 3: Cross multiply
    271,933x = 583,230 × 583,230
  4. Step 4: Simplify right side
    271,933x = 340,157,232,900
  5. Step 5: Solve for x
    x = 340,157,232,900/271,933
  6. Step 6: Final answer
    x = 1,250,886.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.