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Finding the Third Proportional to 444,151 and 633,011

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Solution

The third proportional to 444,151 and 633,011 is: 902,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,151 : 633,011 = 633,011 : x
  2. Step 2: Convert to fraction form
    444,151/633,011 = 633,011/x
  3. Step 3: Cross multiply
    444,151x = 633,011 × 633,011
  4. Step 4: Simplify right side
    444,151x = 400,702,926,121
  5. Step 5: Solve for x
    x = 400,702,926,121/444,151
  6. Step 6: Final answer
    x = 902,177.25

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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.