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Finding the Third Proportional to 309,723.75 and 685,775.53

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Solution

The third proportional to 309,723.75 and 685,775.53 is: 1,518,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,723.75 : 685,775.53 = 685,775.53 : x
  2. Step 2: Convert to fraction form
    309,723.75/685,775.53 = 685,775.53/x
  3. Step 3: Cross multiply
    309,723.75x = 685,775.53 × 685,775.53
  4. Step 4: Simplify right side
    309,723.75x = 470,288,079,261.22
  5. Step 5: Solve for x
    x = 470,288,079,261.22/309,723.75
  6. Step 6: Final answer
    x = 1,518,411.42

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.