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Finding the Third Proportional to 388,191 and 823,038

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Solution

The third proportional to 388,191 and 823,038 is: 1,744,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,191 : 823,038 = 823,038 : x
  2. Step 2: Convert to fraction form
    388,191/823,038 = 823,038/x
  3. Step 3: Cross multiply
    388,191x = 823,038 × 823,038
  4. Step 4: Simplify right side
    388,191x = 677,391,549,444
  5. Step 5: Solve for x
    x = 677,391,549,444/388,191
  6. Step 6: Final answer
    x = 1,744,995.50

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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.