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Finding the Third Proportional to 262,464 and 579,072

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Solution

The third proportional to 262,464 and 579,072 is: 1,277,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,464 : 579,072 = 579,072 : x
  2. Step 2: Convert to fraction form
    262,464/579,072 = 579,072/x
  3. Step 3: Cross multiply
    262,464x = 579,072 × 579,072
  4. Step 4: Simplify right side
    262,464x = 335,324,381,184
  5. Step 5: Solve for x
    x = 335,324,381,184/262,464
  6. Step 6: Final answer
    x = 1,277,601.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.