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Finding the Third Proportional to 335,800.50 and 506,934.75

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Solution

The third proportional to 335,800.50 and 506,934.75 is: 765,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,800.50 : 506,934.75 = 506,934.75 : x
  2. Step 2: Convert to fraction form
    335,800.50/506,934.75 = 506,934.75/x
  3. Step 3: Cross multiply
    335,800.50x = 506,934.75 × 506,934.75
  4. Step 4: Simplify right side
    335,800.50x = 256,982,840,757.56
  5. Step 5: Solve for x
    x = 256,982,840,757.56/335,800.50
  6. Step 6: Final answer
    x = 765,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.