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Finding the Third Proportional to 236,648 and 514,760

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Solution

The third proportional to 236,648 and 514,760 is: 1,119,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,648 : 514,760 = 514,760 : x
  2. Step 2: Convert to fraction form
    236,648/514,760 = 514,760/x
  3. Step 3: Cross multiply
    236,648x = 514,760 × 514,760
  4. Step 4: Simplify right side
    236,648x = 264,977,857,600
  5. Step 5: Solve for x
    x = 264,977,857,600/236,648
  6. Step 6: Final answer
    x = 1,119,713.07

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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.