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Finding the Third Proportional to 271,335 and 590,886

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Solution

The third proportional to 271,335 and 590,886 is: 1,286,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,335 : 590,886 = 590,886 : x
  2. Step 2: Convert to fraction form
    271,335/590,886 = 590,886/x
  3. Step 3: Cross multiply
    271,335x = 590,886 × 590,886
  4. Step 4: Simplify right side
    271,335x = 349,146,264,996
  5. Step 5: Solve for x
    x = 349,146,264,996/271,335
  6. Step 6: Final answer
    x = 1,286,771.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.