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Finding the Third Proportional to 274,413 and 601,296

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Solution

The third proportional to 274,413 and 601,296 is: 1,317,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,413 : 601,296 = 601,296 : x
  2. Step 2: Convert to fraction form
    274,413/601,296 = 601,296/x
  3. Step 3: Cross multiply
    274,413x = 601,296 × 601,296
  4. Step 4: Simplify right side
    274,413x = 361,556,879,616
  5. Step 5: Solve for x
    x = 361,556,879,616/274,413
  6. Step 6: Final answer
    x = 1,317,564.69

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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.