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Finding the Third Proportional to 404,817.75 and 594,102.38

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Solution

The third proportional to 404,817.75 and 594,102.38 is: 871,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,817.75 : 594,102.38 = 594,102.38 : x
  2. Step 2: Convert to fraction form
    404,817.75/594,102.38 = 594,102.38/x
  3. Step 3: Cross multiply
    404,817.75x = 594,102.38 × 594,102.38
  4. Step 4: Simplify right side
    404,817.75x = 352,957,631,980.64
  5. Step 5: Solve for x
    x = 352,957,631,980.64/404,817.75
  6. Step 6: Final answer
    x = 871,892.68

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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.