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Finding the Third Proportional to 505,325.81 and 757,210.22

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Solution

The third proportional to 505,325.81 and 757,210.22 is: 1,134,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,325.81 : 757,210.22 = 757,210.22 : x
  2. Step 2: Convert to fraction form
    505,325.81/757,210.22 = 757,210.22/x
  3. Step 3: Cross multiply
    505,325.81x = 757,210.22 × 757,210.22
  4. Step 4: Simplify right side
    505,325.81x = 573,367,315,379.42
  5. Step 5: Solve for x
    x = 573,367,315,379.42/505,325.81
  6. Step 6: Final answer
    x = 1,134,648.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.