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Finding the Third Proportional to 271,332 and 589,356

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Solution

The third proportional to 271,332 and 589,356 is: 1,280,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,332 : 589,356 = 589,356 : x
  2. Step 2: Convert to fraction form
    271,332/589,356 = 589,356/x
  3. Step 3: Cross multiply
    271,332x = 589,356 × 589,356
  4. Step 4: Simplify right side
    271,332x = 347,340,494,736
  5. Step 5: Solve for x
    x = 347,340,494,736/271,332
  6. Step 6: Final answer
    x = 1,280,130.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.