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Finding the Third Proportional to 264,862 and 579,238

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Solution

The third proportional to 264,862 and 579,238 is: 1,266,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,862 : 579,238 = 579,238 : x
  2. Step 2: Convert to fraction form
    264,862/579,238 = 579,238/x
  3. Step 3: Cross multiply
    264,862x = 579,238 × 579,238
  4. Step 4: Simplify right side
    264,862x = 335,516,660,644
  5. Step 5: Solve for x
    x = 335,516,660,644/264,862
  6. Step 6: Final answer
    x = 1,266,760.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.