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Finding the Third Proportional to 264,911 and 573,872

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Solution

The third proportional to 264,911 and 573,872 is: 1,243,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,911 : 573,872 = 573,872 : x
  2. Step 2: Convert to fraction form
    264,911/573,872 = 573,872/x
  3. Step 3: Cross multiply
    264,911x = 573,872 × 573,872
  4. Step 4: Simplify right side
    264,911x = 329,329,072,384
  5. Step 5: Solve for x
    x = 329,329,072,384/264,911
  6. Step 6: Final answer
    x = 1,243,168.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.