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Finding the Third Proportional to 271,320 and 589,332

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Solution

The third proportional to 271,320 and 589,332 is: 1,280,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,320 : 589,332 = 589,332 : x
  2. Step 2: Convert to fraction form
    271,320/589,332 = 589,332/x
  3. Step 3: Cross multiply
    271,320x = 589,332 × 589,332
  4. Step 4: Simplify right side
    271,320x = 347,312,206,224
  5. Step 5: Solve for x
    x = 347,312,206,224/271,320
  6. Step 6: Final answer
    x = 1,280,083.32

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Why These Related Problems?

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