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Finding the Third Proportional to 381,619.50 and 560,765.25

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Solution

The third proportional to 381,619.50 and 560,765.25 is: 824,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,619.50 : 560,765.25 = 560,765.25 : x
  2. Step 2: Convert to fraction form
    381,619.50/560,765.25 = 560,765.25/x
  3. Step 3: Cross multiply
    381,619.50x = 560,765.25 × 560,765.25
  4. Step 4: Simplify right side
    381,619.50x = 314,457,665,607.56
  5. Step 5: Solve for x
    x = 314,457,665,607.56/381,619.50
  6. Step 6: Final answer
    x = 824,008.38

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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.