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Finding the Third Proportional to 384,213 and 827,610

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Solution

The third proportional to 384,213 and 827,610 is: 1,782,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,213 : 827,610 = 827,610 : x
  2. Step 2: Convert to fraction form
    384,213/827,610 = 827,610/x
  3. Step 3: Cross multiply
    384,213x = 827,610 × 827,610
  4. Step 4: Simplify right side
    384,213x = 684,938,312,100
  5. Step 5: Solve for x
    x = 684,938,312,100/384,213
  6. Step 6: Final answer
    x = 1,782,704.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.