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Finding the Third Proportional to 264,004 and 350,073

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Solution

The third proportional to 264,004 and 350,073 is: 464,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,004 : 350,073 = 350,073 : x
  2. Step 2: Convert to fraction form
    264,004/350,073 = 350,073/x
  3. Step 3: Cross multiply
    264,004x = 350,073 × 350,073
  4. Step 4: Simplify right side
    264,004x = 122,551,105,329
  5. Step 5: Solve for x
    x = 122,551,105,329/264,004
  6. Step 6: Final answer
    x = 464,201.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.