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Finding the Third Proportional to 334,096 and 728,491

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Solution

The third proportional to 334,096 and 728,491 is: 1,588,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,096 : 728,491 = 728,491 : x
  2. Step 2: Convert to fraction form
    334,096/728,491 = 728,491/x
  3. Step 3: Cross multiply
    334,096x = 728,491 × 728,491
  4. Step 4: Simplify right side
    334,096x = 530,699,137,081
  5. Step 5: Solve for x
    x = 530,699,137,081/334,096
  6. Step 6: Final answer
    x = 1,588,463.01

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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.