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Finding the Third Proportional to 359,286 and 598,833

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Solution

The third proportional to 359,286 and 598,833 is: 998,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,286 : 598,833 = 598,833 : x
  2. Step 2: Convert to fraction form
    359,286/598,833 = 598,833/x
  3. Step 3: Cross multiply
    359,286x = 598,833 × 598,833
  4. Step 4: Simplify right side
    359,286x = 358,600,961,889
  5. Step 5: Solve for x
    x = 358,600,961,889/359,286
  6. Step 6: Final answer
    x = 998,093.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.