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Finding the Third Proportional to 246,584 and 362,099

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Solution

The third proportional to 246,584 and 362,099 is: 531,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,584 : 362,099 = 362,099 : x
  2. Step 2: Convert to fraction form
    246,584/362,099 = 362,099/x
  3. Step 3: Cross multiply
    246,584x = 362,099 × 362,099
  4. Step 4: Simplify right side
    246,584x = 131,115,685,801
  5. Step 5: Solve for x
    x = 131,115,685,801/246,584
  6. Step 6: Final answer
    x = 531,728.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.