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Finding the Third Proportional to 335,000 and 729,050

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Solution

The third proportional to 335,000 and 729,050 is: 1,586,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,000 : 729,050 = 729,050 : x
  2. Step 2: Convert to fraction form
    335,000/729,050 = 729,050/x
  3. Step 3: Cross multiply
    335,000x = 729,050 × 729,050
  4. Step 4: Simplify right side
    335,000x = 531,513,902,500
  5. Step 5: Solve for x
    x = 531,513,902,500/335,000
  6. Step 6: Final answer
    x = 1,586,608.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.