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Finding the Third Proportional to 383,333.34 and 601,371.84

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Solution

The third proportional to 383,333.34 and 601,371.84 is: 943,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,333.34 : 601,371.84 = 601,371.84 : x
  2. Step 2: Convert to fraction form
    383,333.34/601,371.84 = 601,371.84/x
  3. Step 3: Cross multiply
    383,333.34x = 601,371.84 × 601,371.84
  4. Step 4: Simplify right side
    383,333.34x = 361,648,094,455.27
  5. Step 5: Solve for x
    x = 361,648,094,455.27/383,333.34
  6. Step 6: Final answer
    x = 943,429.79

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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.