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Finding the Third Proportional to 271,770 and 576,426

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Solution

The third proportional to 271,770 and 576,426 is: 1,222,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770 : 576,426 = 576,426 : x
  2. Step 2: Convert to fraction form
    271,770/576,426 = 576,426/x
  3. Step 3: Cross multiply
    271,770x = 576,426 × 576,426
  4. Step 4: Simplify right side
    271,770x = 332,266,933,476
  5. Step 5: Solve for x
    x = 332,266,933,476/271,770
  6. Step 6: Final answer
    x = 1,222,603.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.