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Finding the Third Proportional to 271,312 and 589,317

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Solution

The third proportional to 271,312 and 589,317 is: 1,280,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,312 : 589,317 = 589,317 : x
  2. Step 2: Convert to fraction form
    271,312/589,317 = 589,317/x
  3. Step 3: Cross multiply
    271,312x = 589,317 × 589,317
  4. Step 4: Simplify right side
    271,312x = 347,294,526,489
  5. Step 5: Solve for x
    x = 347,294,526,489/271,312
  6. Step 6: Final answer
    x = 1,280,055.90

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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.