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Finding the Third Proportional to 404,819 and 594,093

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Solution

The third proportional to 404,819 and 594,093 is: 871,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,819 : 594,093 = 594,093 : x
  2. Step 2: Convert to fraction form
    404,819/594,093 = 594,093/x
  3. Step 3: Cross multiply
    404,819x = 594,093 × 594,093
  4. Step 4: Simplify right side
    404,819x = 352,946,492,649
  5. Step 5: Solve for x
    x = 352,946,492,649/404,819
  6. Step 6: Final answer
    x = 871,862.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.