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Finding the Third Proportional to 264,872 and 563,886

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Solution

The third proportional to 264,872 and 563,886 is: 1,200,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872 : 563,886 = 563,886 : x
  2. Step 2: Convert to fraction form
    264,872/563,886 = 563,886/x
  3. Step 3: Cross multiply
    264,872x = 563,886 × 563,886
  4. Step 4: Simplify right side
    264,872x = 317,967,420,996
  5. Step 5: Solve for x
    x = 317,967,420,996/264,872
  6. Step 6: Final answer
    x = 1,200,456.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.