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Finding the Third Proportional to 199,040 and 416,518

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Solution

The third proportional to 199,040 and 416,518 is: 871,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,040 : 416,518 = 416,518 : x
  2. Step 2: Convert to fraction form
    199,040/416,518 = 416,518/x
  3. Step 3: Cross multiply
    199,040x = 416,518 × 416,518
  4. Step 4: Simplify right side
    199,040x = 173,487,244,324
  5. Step 5: Solve for x
    x = 173,487,244,324/199,040
  6. Step 6: Final answer
    x = 871,620.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.