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Finding the Third Proportional to 374,868 and 599,556

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Solution

The third proportional to 374,868 and 599,556 is: 958,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,868 : 599,556 = 599,556 : x
  2. Step 2: Convert to fraction form
    374,868/599,556 = 599,556/x
  3. Step 3: Cross multiply
    374,868x = 599,556 × 599,556
  4. Step 4: Simplify right side
    374,868x = 359,467,397,136
  5. Step 5: Solve for x
    x = 359,467,397,136/374,868
  6. Step 6: Final answer
    x = 958,917.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.