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Finding the Third Proportional to 444,178.13 and 633,043.69

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Solution

The third proportional to 444,178.13 and 633,043.69 is: 902,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,178.13 : 633,043.69 = 633,043.69 : x
  2. Step 2: Convert to fraction form
    444,178.13/633,043.69 = 633,043.69/x
  3. Step 3: Cross multiply
    444,178.13x = 633,043.69 × 633,043.69
  4. Step 4: Simplify right side
    444,178.13x = 400,744,310,283.60
  5. Step 5: Solve for x
    x = 400,744,310,283.60/444,178.13
  6. Step 6: Final answer
    x = 902,215.32

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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.