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Finding the Third Proportional to 359,928 and 833,256

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Solution

The third proportional to 359,928 and 833,256 is: 1,929,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,928 : 833,256 = 833,256 : x
  2. Step 2: Convert to fraction form
    359,928/833,256 = 833,256/x
  3. Step 3: Cross multiply
    359,928x = 833,256 × 833,256
  4. Step 4: Simplify right side
    359,928x = 694,315,561,536
  5. Step 5: Solve for x
    x = 694,315,561,536/359,928
  6. Step 6: Final answer
    x = 1,929,040.15

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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.