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Finding the Third Proportional to 384,522 and 828,213

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Solution

The third proportional to 384,522 and 828,213 is: 1,783,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,522 : 828,213 = 828,213 : x
  2. Step 2: Convert to fraction form
    384,522/828,213 = 828,213/x
  3. Step 3: Cross multiply
    384,522x = 828,213 × 828,213
  4. Step 4: Simplify right side
    384,522x = 685,936,773,369
  5. Step 5: Solve for x
    x = 685,936,773,369/384,522
  6. Step 6: Final answer
    x = 1,783,868.73

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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.