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Finding the Third Proportional to 271,548 and 588,294

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Solution

The third proportional to 271,548 and 588,294 is: 1,274,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,548 : 588,294 = 588,294 : x
  2. Step 2: Convert to fraction form
    271,548/588,294 = 588,294/x
  3. Step 3: Cross multiply
    271,548x = 588,294 × 588,294
  4. Step 4: Simplify right side
    271,548x = 346,089,830,436
  5. Step 5: Solve for x
    x = 346,089,830,436/271,548
  6. Step 6: Final answer
    x = 1,274,507.01

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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.