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Finding the Third Proportional to 596,278 and 892,056

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Solution

The third proportional to 596,278 and 892,056 is: 1,334,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,278 : 892,056 = 892,056 : x
  2. Step 2: Convert to fraction form
    596,278/892,056 = 892,056/x
  3. Step 3: Cross multiply
    596,278x = 892,056 × 892,056
  4. Step 4: Simplify right side
    596,278x = 795,763,907,136
  5. Step 5: Solve for x
    x = 795,763,907,136/596,278
  6. Step 6: Final answer
    x = 1,334,551.85

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