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Finding the Third Proportional to 534,244 and 763,920

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Solution

The third proportional to 534,244 and 763,920 is: 1,092,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,244 : 763,920 = 763,920 : x
  2. Step 2: Convert to fraction form
    534,244/763,920 = 763,920/x
  3. Step 3: Cross multiply
    534,244x = 763,920 × 763,920
  4. Step 4: Simplify right side
    534,244x = 583,573,766,400
  5. Step 5: Solve for x
    x = 583,573,766,400/534,244
  6. Step 6: Final answer
    x = 1,092,335.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.