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Finding the Third Proportional to 404,782 and 594,049

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Solution

The third proportional to 404,782 and 594,049 is: 871,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,782 : 594,049 = 594,049 : x
  2. Step 2: Convert to fraction form
    404,782/594,049 = 594,049/x
  3. Step 3: Cross multiply
    404,782x = 594,049 × 594,049
  4. Step 4: Simplify right side
    404,782x = 352,894,214,401
  5. Step 5: Solve for x
    x = 352,894,214,401/404,782
  6. Step 6: Final answer
    x = 871,813.01

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