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Finding the Third Proportional to 359,932 and 833,266

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Solution

The third proportional to 359,932 and 833,266 is: 1,929,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,932 : 833,266 = 833,266 : x
  2. Step 2: Convert to fraction form
    359,932/833,266 = 833,266/x
  3. Step 3: Cross multiply
    359,932x = 833,266 × 833,266
  4. Step 4: Simplify right side
    359,932x = 694,332,226,756
  5. Step 5: Solve for x
    x = 694,332,226,756/359,932
  6. Step 6: Final answer
    x = 1,929,065.01

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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.