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Finding the Third Proportional to 335,124 and 468,780.75

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Solution

The third proportional to 335,124 and 468,780.75 is: 655,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,124 : 468,780.75 = 468,780.75 : x
  2. Step 2: Convert to fraction form
    335,124/468,780.75 = 468,780.75/x
  3. Step 3: Cross multiply
    335,124x = 468,780.75 × 468,780.75
  4. Step 4: Simplify right side
    335,124x = 219,755,391,570.56
  5. Step 5: Solve for x
    x = 219,755,391,570.56/335,124
  6. Step 6: Final answer
    x = 655,743.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.