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Finding the Third Proportional to 275,188 and 562,038

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Solution

The third proportional to 275,188 and 562,038 is: 1,147,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,188 : 562,038 = 562,038 : x
  2. Step 2: Convert to fraction form
    275,188/562,038 = 562,038/x
  3. Step 3: Cross multiply
    275,188x = 562,038 × 562,038
  4. Step 4: Simplify right side
    275,188x = 315,886,713,444
  5. Step 5: Solve for x
    x = 315,886,713,444/275,188
  6. Step 6: Final answer
    x = 1,147,894.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.