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Finding the Third Proportional to 511,204.84 and 756,936.93

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Solution

The third proportional to 511,204.84 and 756,936.93 is: 1,120,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,204.84 : 756,936.93 = 756,936.93 : x
  2. Step 2: Convert to fraction form
    511,204.84/756,936.93 = 756,936.93/x
  3. Step 3: Cross multiply
    511,204.84x = 756,936.93 × 756,936.93
  4. Step 4: Simplify right side
    511,204.84x = 572,953,518,481.52
  5. Step 5: Solve for x
    x = 572,953,518,481.52/511,204.84
  6. Step 6: Final answer
    x = 1,120,790.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.