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Finding the Third Proportional to 271,239 and 590,693

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Solution

The third proportional to 271,239 and 590,693 is: 1,286,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,239 : 590,693 = 590,693 : x
  2. Step 2: Convert to fraction form
    271,239/590,693 = 590,693/x
  3. Step 3: Cross multiply
    271,239x = 590,693 × 590,693
  4. Step 4: Simplify right side
    271,239x = 348,918,220,249
  5. Step 5: Solve for x
    x = 348,918,220,249/271,239
  6. Step 6: Final answer
    x = 1,286,386.62

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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.