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Finding the Third Proportional to 290,470.50 and 440,052.75

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Solution

The third proportional to 290,470.50 and 440,052.75 is: 666,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,470.50 : 440,052.75 = 440,052.75 : x
  2. Step 2: Convert to fraction form
    290,470.50/440,052.75 = 440,052.75/x
  3. Step 3: Cross multiply
    290,470.50x = 440,052.75 × 440,052.75
  4. Step 4: Simplify right side
    290,470.50x = 193,646,422,782.56
  5. Step 5: Solve for x
    x = 193,646,422,782.56/290,470.50
  6. Step 6: Final answer
    x = 666,664.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.