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Finding the Third Proportional to 335,017 and 729,083

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Solution

The third proportional to 335,017 and 729,083 is: 1,586,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,017 : 729,083 = 729,083 : x
  2. Step 2: Convert to fraction form
    335,017/729,083 = 729,083/x
  3. Step 3: Cross multiply
    335,017x = 729,083 × 729,083
  4. Step 4: Simplify right side
    335,017x = 531,562,020,889
  5. Step 5: Solve for x
    x = 531,562,020,889/335,017
  6. Step 6: Final answer
    x = 1,586,671.78

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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.