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Finding the Third Proportional to 404,786 and 594,057

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Solution

The third proportional to 404,786 and 594,057 is: 871,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,786 : 594,057 = 594,057 : x
  2. Step 2: Convert to fraction form
    404,786/594,057 = 594,057/x
  3. Step 3: Cross multiply
    404,786x = 594,057 × 594,057
  4. Step 4: Simplify right side
    404,786x = 352,903,719,249
  5. Step 5: Solve for x
    x = 352,903,719,249/404,786
  6. Step 6: Final answer
    x = 871,827.88

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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.