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Finding the Third Proportional to 244,161.84 and 535,597.31

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Solution

The third proportional to 244,161.84 and 535,597.31 is: 1,174,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,161.84 : 535,597.31 = 535,597.31 : x
  2. Step 2: Convert to fraction form
    244,161.84/535,597.31 = 535,597.31/x
  3. Step 3: Cross multiply
    244,161.84x = 535,597.31 × 535,597.31
  4. Step 4: Simplify right side
    244,161.84x = 286,864,481,157.22
  5. Step 5: Solve for x
    x = 286,864,481,157.22/244,161.84
  6. Step 6: Final answer
    x = 1,174,894.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.