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Finding the Third Proportional to 264,902 and 579,323

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Solution

The third proportional to 264,902 and 579,323 is: 1,266,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902 : 579,323 = 579,323 : x
  2. Step 2: Convert to fraction form
    264,902/579,323 = 579,323/x
  3. Step 3: Cross multiply
    264,902x = 579,323 × 579,323
  4. Step 4: Simplify right side
    264,902x = 335,615,138,329
  5. Step 5: Solve for x
    x = 335,615,138,329/264,902
  6. Step 6: Final answer
    x = 1,266,940.75

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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.