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Finding the Third Proportional to 264,872 and 573,741

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Solution

The third proportional to 264,872 and 573,741 is: 1,242,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872 : 573,741 = 573,741 : x
  2. Step 2: Convert to fraction form
    264,872/573,741 = 573,741/x
  3. Step 3: Cross multiply
    264,872x = 573,741 × 573,741
  4. Step 4: Simplify right side
    264,872x = 329,178,735,081
  5. Step 5: Solve for x
    x = 329,178,735,081/264,872
  6. Step 6: Final answer
    x = 1,242,784.19

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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.