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Finding the Third Proportional to 283,880 and 620,008

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Solution

The third proportional to 283,880 and 620,008 is: 1,354,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,880 : 620,008 = 620,008 : x
  2. Step 2: Convert to fraction form
    283,880/620,008 = 620,008/x
  3. Step 3: Cross multiply
    283,880x = 620,008 × 620,008
  4. Step 4: Simplify right side
    283,880x = 384,409,920,064
  5. Step 5: Solve for x
    x = 384,409,920,064/283,880
  6. Step 6: Final answer
    x = 1,354,128.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.