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Finding the Third Proportional to 367,054 and 580,125

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Solution

The third proportional to 367,054 and 580,125 is: 916,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,054 : 580,125 = 580,125 : x
  2. Step 2: Convert to fraction form
    367,054/580,125 = 580,125/x
  3. Step 3: Cross multiply
    367,054x = 580,125 × 580,125
  4. Step 4: Simplify right side
    367,054x = 336,545,015,625
  5. Step 5: Solve for x
    x = 336,545,015,625/367,054
  6. Step 6: Final answer
    x = 916,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.