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Finding the Third Proportional to 382,220 and 818,008

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Solution

The third proportional to 382,220 and 818,008 is: 1,750,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,220 : 818,008 = 818,008 : x
  2. Step 2: Convert to fraction form
    382,220/818,008 = 818,008/x
  3. Step 3: Cross multiply
    382,220x = 818,008 × 818,008
  4. Step 4: Simplify right side
    382,220x = 669,137,088,064
  5. Step 5: Solve for x
    x = 669,137,088,064/382,220
  6. Step 6: Final answer
    x = 1,750,659.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.