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Finding the Third Proportional to 444,160.13 and 633,021.75

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Solution

The third proportional to 444,160.13 and 633,021.75 is: 902,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,160.13 : 633,021.75 = 633,021.75 : x
  2. Step 2: Convert to fraction form
    444,160.13/633,021.75 = 633,021.75/x
  3. Step 3: Cross multiply
    444,160.13x = 633,021.75 × 633,021.75
  4. Step 4: Simplify right side
    444,160.13x = 400,716,535,973.06
  5. Step 5: Solve for x
    x = 400,716,535,973.06/444,160.13
  6. Step 6: Final answer
    x = 902,189.35

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