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Finding the Third Proportional to 423,834.75 and 594,003.38

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Solution

The third proportional to 423,834.75 and 594,003.38 is: 832,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,834.75 : 594,003.38 = 594,003.38 : x
  2. Step 2: Convert to fraction form
    423,834.75/594,003.38 = 594,003.38/x
  3. Step 3: Cross multiply
    423,834.75x = 594,003.38 × 594,003.38
  4. Step 4: Simplify right side
    423,834.75x = 352,840,009,511.39
  5. Step 5: Solve for x
    x = 352,840,009,511.39/423,834.75
  6. Step 6: Final answer
    x = 832,494.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.