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Finding the Third Proportional to 374,966 and 824,976

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Solution

The third proportional to 374,966 and 824,976 is: 1,815,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,966 : 824,976 = 824,976 : x
  2. Step 2: Convert to fraction form
    374,966/824,976 = 824,976/x
  3. Step 3: Cross multiply
    374,966x = 824,976 × 824,976
  4. Step 4: Simplify right side
    374,966x = 680,585,400,576
  5. Step 5: Solve for x
    x = 680,585,400,576/374,966
  6. Step 6: Final answer
    x = 1,815,058.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.