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Finding the Third Proportional to 275,600 and 562,888

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Solution

The third proportional to 275,600 and 562,888 is: 1,149,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,600 : 562,888 = 562,888 : x
  2. Step 2: Convert to fraction form
    275,600/562,888 = 562,888/x
  3. Step 3: Cross multiply
    275,600x = 562,888 × 562,888
  4. Step 4: Simplify right side
    275,600x = 316,842,900,544
  5. Step 5: Solve for x
    x = 316,842,900,544/275,600
  6. Step 6: Final answer
    x = 1,149,647.68

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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.