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Finding the Third Proportional to 298,974.75 and 459,533.81

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Solution

The third proportional to 298,974.75 and 459,533.81 is: 706,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.75 : 459,533.81 = 459,533.81 : x
  2. Step 2: Convert to fraction form
    298,974.75/459,533.81 = 459,533.81/x
  3. Step 3: Cross multiply
    298,974.75x = 459,533.81 × 459,533.81
  4. Step 4: Simplify right side
    298,974.75x = 211,171,324,830.79
  5. Step 5: Solve for x
    x = 211,171,324,830.79/298,974.75
  6. Step 6: Final answer
    x = 706,318.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.