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Finding the Third Proportional to 423,898 and 594,092

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Solution

The third proportional to 423,898 and 594,092 is: 832,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,898 : 594,092 = 594,092 : x
  2. Step 2: Convert to fraction form
    423,898/594,092 = 594,092/x
  3. Step 3: Cross multiply
    423,898x = 594,092 × 594,092
  4. Step 4: Simplify right side
    423,898x = 352,945,304,464
  5. Step 5: Solve for x
    x = 352,945,304,464/423,898
  6. Step 6: Final answer
    x = 832,618.47

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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.