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Finding the Third Proportional to 335,406 and 498,544

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Solution

The third proportional to 335,406 and 498,544 is: 741,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,406 : 498,544 = 498,544 : x
  2. Step 2: Convert to fraction form
    335,406/498,544 = 498,544/x
  3. Step 3: Cross multiply
    335,406x = 498,544 × 498,544
  4. Step 4: Simplify right side
    335,406x = 248,546,119,936
  5. Step 5: Solve for x
    x = 248,546,119,936/335,406
  6. Step 6: Final answer
    x = 741,030.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.