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Finding the Third Proportional to 271,666 and 590,038

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Solution

The third proportional to 271,666 and 590,038 is: 1,281,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,666 : 590,038 = 590,038 : x
  2. Step 2: Convert to fraction form
    271,666/590,038 = 590,038/x
  3. Step 3: Cross multiply
    271,666x = 590,038 × 590,038
  4. Step 4: Simplify right side
    271,666x = 348,144,841,444
  5. Step 5: Solve for x
    x = 348,144,841,444/271,666
  6. Step 6: Final answer
    x = 1,281,517.90

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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.