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Finding the Third Proportional to 359,920 and 833,236

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Solution

The third proportional to 359,920 and 833,236 is: 1,928,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,920 : 833,236 = 833,236 : x
  2. Step 2: Convert to fraction form
    359,920/833,236 = 833,236/x
  3. Step 3: Cross multiply
    359,920x = 833,236 × 833,236
  4. Step 4: Simplify right side
    359,920x = 694,282,231,696
  5. Step 5: Solve for x
    x = 694,282,231,696/359,920
  6. Step 6: Final answer
    x = 1,928,990.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.