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Finding the Third Proportional to 383,640 and 601,803

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Solution

The third proportional to 383,640 and 601,803 is: 944,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,640 : 601,803 = 601,803 : x
  2. Step 2: Convert to fraction form
    383,640/601,803 = 601,803/x
  3. Step 3: Cross multiply
    383,640x = 601,803 × 601,803
  4. Step 4: Simplify right side
    383,640x = 362,166,850,809
  5. Step 5: Solve for x
    x = 362,166,850,809/383,640
  6. Step 6: Final answer
    x = 944,027.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.