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Finding the Third Proportional to 387,213.75 and 569,424.75

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Solution

The third proportional to 387,213.75 and 569,424.75 is: 837,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,213.75 : 569,424.75 = 569,424.75 : x
  2. Step 2: Convert to fraction form
    387,213.75/569,424.75 = 569,424.75/x
  3. Step 3: Cross multiply
    387,213.75x = 569,424.75 × 569,424.75
  4. Step 4: Simplify right side
    387,213.75x = 324,244,545,912.56
  5. Step 5: Solve for x
    x = 324,244,545,912.56/387,213.75
  6. Step 6: Final answer
    x = 837,378.70

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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.