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Finding the Third Proportional to 291,613.50 and 695,499.75

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Solution

The third proportional to 291,613.50 and 695,499.75 is: 1,658,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,613.50 : 695,499.75 = 695,499.75 : x
  2. Step 2: Convert to fraction form
    291,613.50/695,499.75 = 695,499.75/x
  3. Step 3: Cross multiply
    291,613.50x = 695,499.75 × 695,499.75
  4. Step 4: Simplify right side
    291,613.50x = 483,719,902,250.06
  5. Step 5: Solve for x
    x = 483,719,902,250.06/291,613.50
  6. Step 6: Final answer
    x = 1,658,770.61

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.