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Finding the Third Proportional to 294,923 and 645,041

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Solution

The third proportional to 294,923 and 645,041 is: 1,410,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,923 : 645,041 = 645,041 : x
  2. Step 2: Convert to fraction form
    294,923/645,041 = 645,041/x
  3. Step 3: Cross multiply
    294,923x = 645,041 × 645,041
  4. Step 4: Simplify right side
    294,923x = 416,077,891,681
  5. Step 5: Solve for x
    x = 416,077,891,681/294,923
  6. Step 6: Final answer
    x = 1,410,801.77

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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.