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Finding the Third Proportional to 236,651 and 514,766

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Solution

The third proportional to 236,651 and 514,766 is: 1,119,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,651 : 514,766 = 514,766 : x
  2. Step 2: Convert to fraction form
    236,651/514,766 = 514,766/x
  3. Step 3: Cross multiply
    236,651x = 514,766 × 514,766
  4. Step 4: Simplify right side
    236,651x = 264,984,034,756
  5. Step 5: Solve for x
    x = 264,984,034,756/236,651
  6. Step 6: Final answer
    x = 1,119,724.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.