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Finding the Third Proportional to 383,500 and 601,628

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Solution

The third proportional to 383,500 and 601,628 is: 943,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,500 : 601,628 = 601,628 : x
  2. Step 2: Convert to fraction form
    383,500/601,628 = 601,628/x
  3. Step 3: Cross multiply
    383,500x = 601,628 × 601,628
  4. Step 4: Simplify right side
    383,500x = 361,956,250,384
  5. Step 5: Solve for x
    x = 361,956,250,384/383,500
  6. Step 6: Final answer
    x = 943,823.34

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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.