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Finding the Third Proportional to 505,151 and 1,090,423.50

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Solution

The third proportional to 505,151 and 1,090,423.50 is: 2,353,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,151 : 1,090,423.50 = 1,090,423.50 : x
  2. Step 2: Convert to fraction form
    505,151/1,090,423.50 = 1,090,423.50/x
  3. Step 3: Cross multiply
    505,151x = 1,090,423.50 × 1,090,423.50
  4. Step 4: Simplify right side
    505,151x = 1,189,023,409,352.25
  5. Step 5: Solve for x
    x = 1,189,023,409,352.25/505,151
  6. Step 6: Final answer
    x = 2,353,797.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.