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Finding the Third Proportional to 335,084 and 728,344

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Solution

The third proportional to 335,084 and 728,344 is: 1,583,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,084 : 728,344 = 728,344 : x
  2. Step 2: Convert to fraction form
    335,084/728,344 = 728,344/x
  3. Step 3: Cross multiply
    335,084x = 728,344 × 728,344
  4. Step 4: Simplify right side
    335,084x = 530,484,982,336
  5. Step 5: Solve for x
    x = 530,484,982,336/335,084
  6. Step 6: Final answer
    x = 1,583,140.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.