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Finding the Third Proportional to 404,820 and 594,105

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Solution

The third proportional to 404,820 and 594,105 is: 871,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,820 : 594,105 = 594,105 : x
  2. Step 2: Convert to fraction form
    404,820/594,105 = 594,105/x
  3. Step 3: Cross multiply
    404,820x = 594,105 × 594,105
  4. Step 4: Simplify right side
    404,820x = 352,960,751,025
  5. Step 5: Solve for x
    x = 352,960,751,025/404,820
  6. Step 6: Final answer
    x = 871,895.54

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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.