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Finding the Third Proportional to 362,400 and 522,000

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Solution

The third proportional to 362,400 and 522,000 is: 751,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,400 : 522,000 = 522,000 : x
  2. Step 2: Convert to fraction form
    362,400/522,000 = 522,000/x
  3. Step 3: Cross multiply
    362,400x = 522,000 × 522,000
  4. Step 4: Simplify right side
    362,400x = 272,484,000,000
  5. Step 5: Solve for x
    x = 272,484,000,000/362,400
  6. Step 6: Final answer
    x = 751,887.42

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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.