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Finding the Third Proportional to 505,305 and 1,095,595.50

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Solution

The third proportional to 505,305 and 1,095,595.50 is: 2,375,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,305 : 1,095,595.50 = 1,095,595.50 : x
  2. Step 2: Convert to fraction form
    505,305/1,095,595.50 = 1,095,595.50/x
  3. Step 3: Cross multiply
    505,305x = 1,095,595.50 × 1,095,595.50
  4. Step 4: Simplify right side
    505,305x = 1,200,329,499,620.25
  5. Step 5: Solve for x
    x = 1,200,329,499,620.25/505,305
  6. Step 6: Final answer
    x = 2,375,455.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.