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Finding the Third Proportional to 359,910 and 833,211

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Solution

The third proportional to 359,910 and 833,211 is: 1,928,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,910 : 833,211 = 833,211 : x
  2. Step 2: Convert to fraction form
    359,910/833,211 = 833,211/x
  3. Step 3: Cross multiply
    359,910x = 833,211 × 833,211
  4. Step 4: Simplify right side
    359,910x = 694,240,570,521
  5. Step 5: Solve for x
    x = 694,240,570,521/359,910
  6. Step 6: Final answer
    x = 1,928,928.26

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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.