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Finding the Third Proportional to 290,094 and 450,126

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Solution

The third proportional to 290,094 and 450,126 is: 698,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,094 : 450,126 = 450,126 : x
  2. Step 2: Convert to fraction form
    290,094/450,126 = 450,126/x
  3. Step 3: Cross multiply
    290,094x = 450,126 × 450,126
  4. Step 4: Simplify right side
    290,094x = 202,613,415,876
  5. Step 5: Solve for x
    x = 202,613,415,876/290,094
  6. Step 6: Final answer
    x = 698,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.