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Finding the Third Proportional to 264,696 and 576,048

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Solution

The third proportional to 264,696 and 576,048 is: 1,253,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,696 : 576,048 = 576,048 : x
  2. Step 2: Convert to fraction form
    264,696/576,048 = 576,048/x
  3. Step 3: Cross multiply
    264,696x = 576,048 × 576,048
  4. Step 4: Simplify right side
    264,696x = 331,831,298,304
  5. Step 5: Solve for x
    x = 331,831,298,304/264,696
  6. Step 6: Final answer
    x = 1,253,631.71

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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.