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Finding the Third Proportional to 511,879.50 and 1,102,248

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Solution

The third proportional to 511,879.50 and 1,102,248 is: 2,373,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,879.50 : 1,102,248 = 1,102,248 : x
  2. Step 2: Convert to fraction form
    511,879.50/1,102,248 = 1,102,248/x
  3. Step 3: Cross multiply
    511,879.50x = 1,102,248 × 1,102,248
  4. Step 4: Simplify right side
    511,879.50x = 1,214,950,653,504
  5. Step 5: Solve for x
    x = 1,214,950,653,504/511,879.50
  6. Step 6: Final answer
    x = 2,373,509.10

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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.