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Finding the Third Proportional to 236,749.50 and 506,805.75

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Solution

The third proportional to 236,749.50 and 506,805.75 is: 1,084,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,749.50 : 506,805.75 = 506,805.75 : x
  2. Step 2: Convert to fraction form
    236,749.50/506,805.75 = 506,805.75/x
  3. Step 3: Cross multiply
    236,749.50x = 506,805.75 × 506,805.75
  4. Step 4: Simplify right side
    236,749.50x = 256,852,068,233.06
  5. Step 5: Solve for x
    x = 256,852,068,233.06/236,749.50
  6. Step 6: Final answer
    x = 1,084,910.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.