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Finding the Third Proportional to 275,094 and 602,674

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Solution

The third proportional to 275,094 and 602,674 is: 1,320,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,094 : 602,674 = 602,674 : x
  2. Step 2: Convert to fraction form
    275,094/602,674 = 602,674/x
  3. Step 3: Cross multiply
    275,094x = 602,674 × 602,674
  4. Step 4: Simplify right side
    275,094x = 363,215,950,276
  5. Step 5: Solve for x
    x = 363,215,950,276/275,094
  6. Step 6: Final answer
    x = 1,320,333.96

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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.