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Finding the Third Proportional to 271,962 and 583,260

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Solution

The third proportional to 271,962 and 583,260 is: 1,250,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,962 : 583,260 = 583,260 : x
  2. Step 2: Convert to fraction form
    271,962/583,260 = 583,260/x
  3. Step 3: Cross multiply
    271,962x = 583,260 × 583,260
  4. Step 4: Simplify right side
    271,962x = 340,192,227,600
  5. Step 5: Solve for x
    x = 340,192,227,600/271,962
  6. Step 6: Final answer
    x = 1,250,881.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.