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Finding the Third Proportional to 444,153 and 633,014

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Solution

The third proportional to 444,153 and 633,014 is: 902,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,153 : 633,014 = 633,014 : x
  2. Step 2: Convert to fraction form
    444,153/633,014 = 633,014/x
  3. Step 3: Cross multiply
    444,153x = 633,014 × 633,014
  4. Step 4: Simplify right side
    444,153x = 400,706,724,196
  5. Step 5: Solve for x
    x = 400,706,724,196/444,153
  6. Step 6: Final answer
    x = 902,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.