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Finding the Third Proportional to 335,125 and 729,220

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Solution

The third proportional to 335,125 and 729,220 is: 1,586,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,125 : 729,220 = 729,220 : x
  2. Step 2: Convert to fraction form
    335,125/729,220 = 729,220/x
  3. Step 3: Cross multiply
    335,125x = 729,220 × 729,220
  4. Step 4: Simplify right side
    335,125x = 531,761,808,400
  5. Step 5: Solve for x
    x = 531,761,808,400/335,125
  6. Step 6: Final answer
    x = 1,586,756.61

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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.