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Finding the Third Proportional to 379,083 and 833,982

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Solution

The third proportional to 379,083 and 833,982 is: 1,834,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,083 : 833,982 = 833,982 : x
  2. Step 2: Convert to fraction form
    379,083/833,982 = 833,982/x
  3. Step 3: Cross multiply
    379,083x = 833,982 × 833,982
  4. Step 4: Simplify right side
    379,083x = 695,525,976,324
  5. Step 5: Solve for x
    x = 695,525,976,324/379,083
  6. Step 6: Final answer
    x = 1,834,759.08

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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.