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Finding the Third Proportional to 268,192 and 589,516

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Solution

The third proportional to 268,192 and 589,516 is: 1,295,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,192 : 589,516 = 589,516 : x
  2. Step 2: Convert to fraction form
    268,192/589,516 = 589,516/x
  3. Step 3: Cross multiply
    268,192x = 589,516 × 589,516
  4. Step 4: Simplify right side
    268,192x = 347,529,114,256
  5. Step 5: Solve for x
    x = 347,529,114,256/268,192
  6. Step 6: Final answer
    x = 1,295,822.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.