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Finding the Third Proportional to 404,812.13 and 594,096.19

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Solution

The third proportional to 404,812.13 and 594,096.19 is: 871,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,812.13 : 594,096.19 = 594,096.19 : x
  2. Step 2: Convert to fraction form
    404,812.13/594,096.19 = 594,096.19/x
  3. Step 3: Cross multiply
    404,812.13x = 594,096.19 × 594,096.19
  4. Step 4: Simplify right side
    404,812.13x = 352,950,280,002.04
  5. Step 5: Solve for x
    x = 352,950,280,002.04/404,812.13
  6. Step 6: Final answer
    x = 871,886.63

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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.