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Finding the Third Proportional to 283,796 and 423,234

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Solution

The third proportional to 283,796 and 423,234 is: 631,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796 : 423,234 = 423,234 : x
  2. Step 2: Convert to fraction form
    283,796/423,234 = 423,234/x
  3. Step 3: Cross multiply
    283,796x = 423,234 × 423,234
  4. Step 4: Simplify right side
    283,796x = 179,127,018,756
  5. Step 5: Solve for x
    x = 179,127,018,756/283,796
  6. Step 6: Final answer
    x = 631,182.32

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Why These Related Problems?

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