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Finding the Third Proportional to 271,083 and 602,751

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Solution

The third proportional to 271,083 and 602,751 is: 1,340,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,083 : 602,751 = 602,751 : x
  2. Step 2: Convert to fraction form
    271,083/602,751 = 602,751/x
  3. Step 3: Cross multiply
    271,083x = 602,751 × 602,751
  4. Step 4: Simplify right side
    271,083x = 363,308,768,001
  5. Step 5: Solve for x
    x = 363,308,768,001/271,083
  6. Step 6: Final answer
    x = 1,340,212.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.