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Finding the Third Proportional to 499,283.58 and 1,091,983.78

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Solution

The third proportional to 499,283.58 and 1,091,983.78 is: 2,388,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,283.58 : 1,091,983.78 = 1,091,983.78 : x
  2. Step 2: Convert to fraction form
    499,283.58/1,091,983.78 = 1,091,983.78/x
  3. Step 3: Cross multiply
    499,283.58x = 1,091,983.78 × 1,091,983.78
  4. Step 4: Simplify right side
    499,283.58x = 1,192,428,578,513.05
  5. Step 5: Solve for x
    x = 1,192,428,578,513.05/499,283.58
  6. Step 6: Final answer
    x = 2,388,279.19

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Why These Related Problems?

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