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Finding the Third Proportional to 305,953.75 and 662,755.75

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Solution

The third proportional to 305,953.75 and 662,755.75 is: 1,435,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,953.75 : 662,755.75 = 662,755.75 : x
  2. Step 2: Convert to fraction form
    305,953.75/662,755.75 = 662,755.75/x
  3. Step 3: Cross multiply
    305,953.75x = 662,755.75 × 662,755.75
  4. Step 4: Simplify right side
    305,953.75x = 439,245,184,158.06
  5. Step 5: Solve for x
    x = 439,245,184,158.06/305,953.75
  6. Step 6: Final answer
    x = 1,435,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.