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Finding the Third Proportional to 505,018.34 and 1,090,158.33

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Solution

The third proportional to 505,018.34 and 1,090,158.33 is: 2,353,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,018.34 : 1,090,158.33 = 1,090,158.33 : x
  2. Step 2: Convert to fraction form
    505,018.34/1,090,158.33 = 1,090,158.33/x
  3. Step 3: Cross multiply
    505,018.34x = 1,090,158.33 × 1,090,158.33
  4. Step 4: Simplify right side
    505,018.34x = 1,188,445,180,380.30
  5. Step 5: Solve for x
    x = 1,188,445,180,380.30/505,018.34
  6. Step 6: Final answer
    x = 2,353,271.35

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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.