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Finding the Third Proportional to 334,951 and 728,077

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Solution

The third proportional to 334,951 and 728,077 is: 1,582,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,951 : 728,077 = 728,077 : x
  2. Step 2: Convert to fraction form
    334,951/728,077 = 728,077/x
  3. Step 3: Cross multiply
    334,951x = 728,077 × 728,077
  4. Step 4: Simplify right side
    334,951x = 530,096,117,929
  5. Step 5: Solve for x
    x = 530,096,117,929/334,951
  6. Step 6: Final answer
    x = 1,582,607.96

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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.