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Finding the Third Proportional to 363,174 and 600,201

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Solution

The third proportional to 363,174 and 600,201 is: 991,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,174 : 600,201 = 600,201 : x
  2. Step 2: Convert to fraction form
    363,174/600,201 = 600,201/x
  3. Step 3: Cross multiply
    363,174x = 600,201 × 600,201
  4. Step 4: Simplify right side
    363,174x = 360,241,240,401
  5. Step 5: Solve for x
    x = 360,241,240,401/363,174
  6. Step 6: Final answer
    x = 991,924.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.