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Finding the Third Proportional to 335,018 and 729,085

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Solution

The third proportional to 335,018 and 729,085 is: 1,586,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,018 : 729,085 = 729,085 : x
  2. Step 2: Convert to fraction form
    335,018/729,085 = 729,085/x
  3. Step 3: Cross multiply
    335,018x = 729,085 × 729,085
  4. Step 4: Simplify right side
    335,018x = 531,564,937,225
  5. Step 5: Solve for x
    x = 531,564,937,225/335,018
  6. Step 6: Final answer
    x = 1,586,675.75

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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.