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Finding the Third Proportional to 373,800 and 559,152

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Solution

The third proportional to 373,800 and 559,152 is: 836,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,800 : 559,152 = 559,152 : x
  2. Step 2: Convert to fraction form
    373,800/559,152 = 559,152/x
  3. Step 3: Cross multiply
    373,800x = 559,152 × 559,152
  4. Step 4: Simplify right side
    373,800x = 312,650,959,104
  5. Step 5: Solve for x
    x = 312,650,959,104/373,800
  6. Step 6: Final answer
    x = 836,412.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.