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Finding the Third Proportional to 271,747 and 590,318

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Solution

The third proportional to 271,747 and 590,318 is: 1,282,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,747 : 590,318 = 590,318 : x
  2. Step 2: Convert to fraction form
    271,747/590,318 = 590,318/x
  3. Step 3: Cross multiply
    271,747x = 590,318 × 590,318
  4. Step 4: Simplify right side
    271,747x = 348,475,341,124
  5. Step 5: Solve for x
    x = 348,475,341,124/271,747
  6. Step 6: Final answer
    x = 1,282,352.12

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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.