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Finding the Third Proportional to 264,714 and 576,084

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Solution

The third proportional to 264,714 and 576,084 is: 1,253,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,714 : 576,084 = 576,084 : x
  2. Step 2: Convert to fraction form
    264,714/576,084 = 576,084/x
  3. Step 3: Cross multiply
    264,714x = 576,084 × 576,084
  4. Step 4: Simplify right side
    264,714x = 331,872,775,056
  5. Step 5: Solve for x
    x = 331,872,775,056/264,714
  6. Step 6: Final answer
    x = 1,253,703.15

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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.