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Finding the Third Proportional to 414,568 and 640,172

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Solution

The third proportional to 414,568 and 640,172 is: 988,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,568 : 640,172 = 640,172 : x
  2. Step 2: Convert to fraction form
    414,568/640,172 = 640,172/x
  3. Step 3: Cross multiply
    414,568x = 640,172 × 640,172
  4. Step 4: Simplify right side
    414,568x = 409,820,189,584
  5. Step 5: Solve for x
    x = 409,820,189,584/414,568
  6. Step 6: Final answer
    x = 988,547.57

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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.