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Finding the Third Proportional to 365,994 and 584,388

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Solution

The third proportional to 365,994 and 584,388 is: 933,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,994 : 584,388 = 584,388 : x
  2. Step 2: Convert to fraction form
    365,994/584,388 = 584,388/x
  3. Step 3: Cross multiply
    365,994x = 584,388 × 584,388
  4. Step 4: Simplify right side
    365,994x = 341,509,334,544
  5. Step 5: Solve for x
    x = 341,509,334,544/365,994
  6. Step 6: Final answer
    x = 933,100.91

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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.