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Finding the Third Proportional to 284,850.75 and 440,923.13

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Solution

The third proportional to 284,850.75 and 440,923.13 is: 682,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,850.75 : 440,923.13 = 440,923.13 : x
  2. Step 2: Convert to fraction form
    284,850.75/440,923.13 = 440,923.13/x
  3. Step 3: Cross multiply
    284,850.75x = 440,923.13 × 440,923.13
  4. Step 4: Simplify right side
    284,850.75x = 194,413,202,159.77
  5. Step 5: Solve for x
    x = 194,413,202,159.77/284,850.75
  6. Step 6: Final answer
    x = 682,509.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.