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Finding the Third Proportional to 275,200 and 602,888

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Solution

The third proportional to 275,200 and 602,888 is: 1,320,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200 : 602,888 = 602,888 : x
  2. Step 2: Convert to fraction form
    275,200/602,888 = 602,888/x
  3. Step 3: Cross multiply
    275,200x = 602,888 × 602,888
  4. Step 4: Simplify right side
    275,200x = 363,473,940,544
  5. Step 5: Solve for x
    x = 363,473,940,544/275,200
  6. Step 6: Final answer
    x = 1,320,762.87

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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.