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Finding the Third Proportional to 458,001 and 650,094

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Solution

The third proportional to 458,001 and 650,094 is: 922,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,001 : 650,094 = 650,094 : x
  2. Step 2: Convert to fraction form
    458,001/650,094 = 650,094/x
  3. Step 3: Cross multiply
    458,001x = 650,094 × 650,094
  4. Step 4: Simplify right side
    458,001x = 422,622,208,836
  5. Step 5: Solve for x
    x = 422,622,208,836/458,001
  6. Step 6: Final answer
    x = 922,753.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.