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Finding the Third Proportional to 283,764.50 and 423,186

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Solution

The third proportional to 283,764.50 and 423,186 is: 631,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,764.50 : 423,186 = 423,186 : x
  2. Step 2: Convert to fraction form
    283,764.50/423,186 = 423,186/x
  3. Step 3: Cross multiply
    283,764.50x = 423,186 × 423,186
  4. Step 4: Simplify right side
    283,764.50x = 179,086,390,596
  5. Step 5: Solve for x
    x = 179,086,390,596/283,764.50
  6. Step 6: Final answer
    x = 631,109.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.