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Finding the Third Proportional to 271,572 and 411,873

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Solution

The third proportional to 271,572 and 411,873 is: 624,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,572 : 411,873 = 411,873 : x
  2. Step 2: Convert to fraction form
    271,572/411,873 = 411,873/x
  3. Step 3: Cross multiply
    271,572x = 411,873 × 411,873
  4. Step 4: Simplify right side
    271,572x = 169,639,368,129
  5. Step 5: Solve for x
    x = 169,639,368,129/271,572
  6. Step 6: Final answer
    x = 624,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.