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Finding the Third Proportional to 263,344 and 583,630

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Solution

The third proportional to 263,344 and 583,630 is: 1,293,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,344 : 583,630 = 583,630 : x
  2. Step 2: Convert to fraction form
    263,344/583,630 = 583,630/x
  3. Step 3: Cross multiply
    263,344x = 583,630 × 583,630
  4. Step 4: Simplify right side
    263,344x = 340,623,976,900
  5. Step 5: Solve for x
    x = 340,623,976,900/263,344
  6. Step 6: Final answer
    x = 1,293,456.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.