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Finding the Third Proportional to 335,684 and 730,395

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Solution

The third proportional to 335,684 and 730,395 is: 1,589,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,684 : 730,395 = 730,395 : x
  2. Step 2: Convert to fraction form
    335,684/730,395 = 730,395/x
  3. Step 3: Cross multiply
    335,684x = 730,395 × 730,395
  4. Step 4: Simplify right side
    335,684x = 533,476,856,025
  5. Step 5: Solve for x
    x = 533,476,856,025/335,684
  6. Step 6: Final answer
    x = 1,589,223.36

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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.