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Finding the Third Proportional to 349,899.75 and 505,743.75

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Solution

The third proportional to 349,899.75 and 505,743.75 is: 731,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,899.75 : 505,743.75 = 505,743.75 : x
  2. Step 2: Convert to fraction form
    349,899.75/505,743.75 = 505,743.75/x
  3. Step 3: Cross multiply
    349,899.75x = 505,743.75 × 505,743.75
  4. Step 4: Simplify right side
    349,899.75x = 255,776,740,664.06
  5. Step 5: Solve for x
    x = 255,776,740,664.06/349,899.75
  6. Step 6: Final answer
    x = 731,000.07

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.