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Finding the Third Proportional to 271,008 and 587,196

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Solution

The third proportional to 271,008 and 587,196 is: 1,272,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,008 : 587,196 = 587,196 : x
  2. Step 2: Convert to fraction form
    271,008/587,196 = 587,196/x
  3. Step 3: Cross multiply
    271,008x = 587,196 × 587,196
  4. Step 4: Simplify right side
    271,008x = 344,799,142,416
  5. Step 5: Solve for x
    x = 344,799,142,416/271,008
  6. Step 6: Final answer
    x = 1,272,284.00

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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.