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Finding the Third Proportional to 236,649 and 514,762

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Solution

The third proportional to 236,649 and 514,762 is: 1,119,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,649 : 514,762 = 514,762 : x
  2. Step 2: Convert to fraction form
    236,649/514,762 = 514,762/x
  3. Step 3: Cross multiply
    236,649x = 514,762 × 514,762
  4. Step 4: Simplify right side
    236,649x = 264,979,916,644
  5. Step 5: Solve for x
    x = 264,979,916,644/236,649
  6. Step 6: Final answer
    x = 1,119,717.04

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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.