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Finding the Third Proportional to 283,770 and 593,823

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Solution

The third proportional to 283,770 and 593,823 is: 1,242,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,770 : 593,823 = 593,823 : x
  2. Step 2: Convert to fraction form
    283,770/593,823 = 593,823/x
  3. Step 3: Cross multiply
    283,770x = 593,823 × 593,823
  4. Step 4: Simplify right side
    283,770x = 352,625,755,329
  5. Step 5: Solve for x
    x = 352,625,755,329/283,770
  6. Step 6: Final answer
    x = 1,242,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.