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Finding the Third Proportional to 264,874 and 563,890

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Solution

The third proportional to 264,874 and 563,890 is: 1,200,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,874 : 563,890 = 563,890 : x
  2. Step 2: Convert to fraction form
    264,874/563,890 = 563,890/x
  3. Step 3: Cross multiply
    264,874x = 563,890 × 563,890
  4. Step 4: Simplify right side
    264,874x = 317,971,932,100
  5. Step 5: Solve for x
    x = 317,971,932,100/264,874
  6. Step 6: Final answer
    x = 1,200,464.87

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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.