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Finding the Third Proportional to 264,694 and 576,044

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Solution

The third proportional to 264,694 and 576,044 is: 1,253,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,694 : 576,044 = 576,044 : x
  2. Step 2: Convert to fraction form
    264,694/576,044 = 576,044/x
  3. Step 3: Cross multiply
    264,694x = 576,044 × 576,044
  4. Step 4: Simplify right side
    264,694x = 331,826,689,936
  5. Step 5: Solve for x
    x = 331,826,689,936/264,694
  6. Step 6: Final answer
    x = 1,253,623.77

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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.