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Finding the Third Proportional to 444,210 and 633,090

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Solution

The third proportional to 444,210 and 633,090 is: 902,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,210 : 633,090 = 633,090 : x
  2. Step 2: Convert to fraction form
    444,210/633,090 = 633,090/x
  3. Step 3: Cross multiply
    444,210x = 633,090 × 633,090
  4. Step 4: Simplify right side
    444,210x = 400,802,948,100
  5. Step 5: Solve for x
    x = 400,802,948,100/444,210
  6. Step 6: Final answer
    x = 902,282.59

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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.