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Finding the Third Proportional to 381,133.50 and 560,282.25

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Solution

The third proportional to 381,133.50 and 560,282.25 is: 823,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,133.50 : 560,282.25 = 560,282.25 : x
  2. Step 2: Convert to fraction form
    381,133.50/560,282.25 = 560,282.25/x
  3. Step 3: Cross multiply
    381,133.50x = 560,282.25 × 560,282.25
  4. Step 4: Simplify right side
    381,133.50x = 313,916,199,665.06
  5. Step 5: Solve for x
    x = 313,916,199,665.06/381,133.50
  6. Step 6: Final answer
    x = 823,638.44

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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.