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Finding the Third Proportional to 388,184 and 823,024

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Solution

The third proportional to 388,184 and 823,024 is: 1,744,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,184 : 823,024 = 823,024 : x
  2. Step 2: Convert to fraction form
    388,184/823,024 = 823,024/x
  3. Step 3: Cross multiply
    388,184x = 823,024 × 823,024
  4. Step 4: Simplify right side
    388,184x = 677,368,504,576
  5. Step 5: Solve for x
    x = 677,368,504,576/388,184
  6. Step 6: Final answer
    x = 1,744,967.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.