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Finding the Third Proportional to 381,204.56 and 559,072.13

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Solution

The third proportional to 381,204.56 and 559,072.13 is: 819,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,204.56 : 559,072.13 = 559,072.13 : x
  2. Step 2: Convert to fraction form
    381,204.56/559,072.13 = 559,072.13/x
  3. Step 3: Cross multiply
    381,204.56x = 559,072.13 × 559,072.13
  4. Step 4: Simplify right side
    381,204.56x = 312,561,640,952.02
  5. Step 5: Solve for x
    x = 312,561,640,952.02/381,204.56
  6. Step 6: Final answer
    x = 819,931.53

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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.