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Finding the Third Proportional to 290,485.50 and 444,089

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Solution

The third proportional to 290,485.50 and 444,089 is: 678,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,485.50 : 444,089 = 444,089 : x
  2. Step 2: Convert to fraction form
    290,485.50/444,089 = 444,089/x
  3. Step 3: Cross multiply
    290,485.50x = 444,089 × 444,089
  4. Step 4: Simplify right side
    290,485.50x = 197,215,039,921
  5. Step 5: Solve for x
    x = 197,215,039,921/290,485.50
  6. Step 6: Final answer
    x = 678,915.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.