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Finding the Third Proportional to 236,616 and 516,057.75

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Solution

The third proportional to 236,616 and 516,057.75 is: 1,125,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,616 : 516,057.75 = 516,057.75 : x
  2. Step 2: Convert to fraction form
    236,616/516,057.75 = 516,057.75/x
  3. Step 3: Cross multiply
    236,616x = 516,057.75 × 516,057.75
  4. Step 4: Simplify right side
    236,616x = 266,315,601,335.06
  5. Step 5: Solve for x
    x = 266,315,601,335.06/236,616
  6. Step 6: Final answer
    x = 1,125,518.14

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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.