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Finding the Third Proportional to 265,766 and 563,932

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Solution

The third proportional to 265,766 and 563,932 is: 1,196,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,766 : 563,932 = 563,932 : x
  2. Step 2: Convert to fraction form
    265,766/563,932 = 563,932/x
  3. Step 3: Cross multiply
    265,766x = 563,932 × 563,932
  4. Step 4: Simplify right side
    265,766x = 318,019,300,624
  5. Step 5: Solve for x
    x = 318,019,300,624/265,766
  6. Step 6: Final answer
    x = 1,196,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.