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Finding the Third Proportional to 362,313 and 522,571.50

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Solution

The third proportional to 362,313 and 522,571.50 is: 753,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,313 : 522,571.50 = 522,571.50 : x
  2. Step 2: Convert to fraction form
    362,313/522,571.50 = 522,571.50/x
  3. Step 3: Cross multiply
    362,313x = 522,571.50 × 522,571.50
  4. Step 4: Simplify right side
    362,313x = 273,080,972,612.25
  5. Step 5: Solve for x
    x = 273,080,972,612.25/362,313
  6. Step 6: Final answer
    x = 753,715.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.