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Finding the Third Proportional to 271,912 and 596,352

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Solution

The third proportional to 271,912 and 596,352 is: 1,307,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,912 : 596,352 = 596,352 : x
  2. Step 2: Convert to fraction form
    271,912/596,352 = 596,352/x
  3. Step 3: Cross multiply
    271,912x = 596,352 × 596,352
  4. Step 4: Simplify right side
    271,912x = 355,635,707,904
  5. Step 5: Solve for x
    x = 355,635,707,904/271,912
  6. Step 6: Final answer
    x = 1,307,907.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.