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Finding the Third Proportional to 283,826 and 426,924

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Solution

The third proportional to 283,826 and 426,924 is: 642,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,826 : 426,924 = 426,924 : x
  2. Step 2: Convert to fraction form
    283,826/426,924 = 426,924/x
  3. Step 3: Cross multiply
    283,826x = 426,924 × 426,924
  4. Step 4: Simplify right side
    283,826x = 182,264,101,776
  5. Step 5: Solve for x
    x = 182,264,101,776/283,826
  6. Step 6: Final answer
    x = 642,168.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.