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Finding the Third Proportional to 264,872 and 579,260

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Solution

The third proportional to 264,872 and 579,260 is: 1,266,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872 : 579,260 = 579,260 : x
  2. Step 2: Convert to fraction form
    264,872/579,260 = 579,260/x
  3. Step 3: Cross multiply
    264,872x = 579,260 × 579,260
  4. Step 4: Simplify right side
    264,872x = 335,542,147,600
  5. Step 5: Solve for x
    x = 335,542,147,600/264,872
  6. Step 6: Final answer
    x = 1,266,808.68

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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.