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Finding the Third Proportional to 290,229.75 and 439,725.38

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Solution

The third proportional to 290,229.75 and 439,725.38 is: 666,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,229.75 : 439,725.38 = 439,725.38 : x
  2. Step 2: Convert to fraction form
    290,229.75/439,725.38 = 439,725.38/x
  3. Step 3: Cross multiply
    290,229.75x = 439,725.38 × 439,725.38
  4. Step 4: Simplify right side
    290,229.75x = 193,358,405,418.89
  5. Step 5: Solve for x
    x = 193,358,405,418.89/290,229.75
  6. Step 6: Final answer
    x = 666,225.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.