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Finding the Third Proportional to 283,824 and 426,920.63

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Solution

The third proportional to 283,824 and 426,920.63 is: 642,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,824 : 426,920.63 = 426,920.63 : x
  2. Step 2: Convert to fraction form
    283,824/426,920.63 = 426,920.63/x
  3. Step 3: Cross multiply
    283,824x = 426,920.63 × 426,920.63
  4. Step 4: Simplify right side
    283,824x = 182,261,220,050.39
  5. Step 5: Solve for x
    x = 182,261,220,050.39/283,824
  6. Step 6: Final answer
    x = 642,162.82

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Why These Related Problems?

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