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Finding the Third Proportional to 375,792 and 823,980

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Solution

The third proportional to 375,792 and 823,980 is: 1,806,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,792 : 823,980 = 823,980 : x
  2. Step 2: Convert to fraction form
    375,792/823,980 = 823,980/x
  3. Step 3: Cross multiply
    375,792x = 823,980 × 823,980
  4. Step 4: Simplify right side
    375,792x = 678,943,040,400
  5. Step 5: Solve for x
    x = 678,943,040,400/375,792
  6. Step 6: Final answer
    x = 1,806,699.03

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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.