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Finding the Third Proportional to 444,148 and 633,006

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Solution

The third proportional to 444,148 and 633,006 is: 902,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,148 : 633,006 = 633,006 : x
  2. Step 2: Convert to fraction form
    444,148/633,006 = 633,006/x
  3. Step 3: Cross multiply
    444,148x = 633,006 × 633,006
  4. Step 4: Simplify right side
    444,148x = 400,696,596,036
  5. Step 5: Solve for x
    x = 400,696,596,036/444,148
  6. Step 6: Final answer
    x = 902,169.09

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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.