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Finding the Third Proportional to 365,996 and 584,391

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Solution

The third proportional to 365,996 and 584,391 is: 933,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,996 : 584,391 = 584,391 : x
  2. Step 2: Convert to fraction form
    365,996/584,391 = 584,391/x
  3. Step 3: Cross multiply
    365,996x = 584,391 × 584,391
  4. Step 4: Simplify right side
    365,996x = 341,512,840,881
  5. Step 5: Solve for x
    x = 341,512,840,881/365,996
  6. Step 6: Final answer
    x = 933,105.39

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.