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Finding the Third Proportional to 409,504 and 878,300

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Solution

The third proportional to 409,504 and 878,300 is: 1,883,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,504 : 878,300 = 878,300 : x
  2. Step 2: Convert to fraction form
    409,504/878,300 = 878,300/x
  3. Step 3: Cross multiply
    409,504x = 878,300 × 878,300
  4. Step 4: Simplify right side
    409,504x = 771,410,890,000
  5. Step 5: Solve for x
    x = 771,410,890,000/409,504
  6. Step 6: Final answer
    x = 1,883,768.88

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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.