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Finding the Third Proportional to 271,792 and 411,792

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Solution

The third proportional to 271,792 and 411,792 is: 623,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,792 : 411,792 = 411,792 : x
  2. Step 2: Convert to fraction form
    271,792/411,792 = 411,792/x
  3. Step 3: Cross multiply
    271,792x = 411,792 × 411,792
  4. Step 4: Simplify right side
    271,792x = 169,572,651,264
  5. Step 5: Solve for x
    x = 169,572,651,264/271,792
  6. Step 6: Final answer
    x = 623,905.97

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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.