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Finding the Third Proportional to 334,082 and 728,463

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Solution

The third proportional to 334,082 and 728,463 is: 1,588,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,082 : 728,463 = 728,463 : x
  2. Step 2: Convert to fraction form
    334,082/728,463 = 728,463/x
  3. Step 3: Cross multiply
    334,082x = 728,463 × 728,463
  4. Step 4: Simplify right side
    334,082x = 530,658,342,369
  5. Step 5: Solve for x
    x = 530,658,342,369/334,082
  6. Step 6: Final answer
    x = 1,588,407.46

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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.