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Finding the Third Proportional to 271,010 and 572,544

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Solution

The third proportional to 271,010 and 572,544 is: 1,209,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,010 : 572,544 = 572,544 : x
  2. Step 2: Convert to fraction form
    271,010/572,544 = 572,544/x
  3. Step 3: Cross multiply
    271,010x = 572,544 × 572,544
  4. Step 4: Simplify right side
    271,010x = 327,806,631,936
  5. Step 5: Solve for x
    x = 327,806,631,936/271,010
  6. Step 6: Final answer
    x = 1,209,573.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.