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Finding the Third Proportional to 334,084 and 728,467

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Solution

The third proportional to 334,084 and 728,467 is: 1,588,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,084 : 728,467 = 728,467 : x
  2. Step 2: Convert to fraction form
    334,084/728,467 = 728,467/x
  3. Step 3: Cross multiply
    334,084x = 728,467 × 728,467
  4. Step 4: Simplify right side
    334,084x = 530,664,170,089
  5. Step 5: Solve for x
    x = 530,664,170,089/334,084
  6. Step 6: Final answer
    x = 1,588,415.40

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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.