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Finding the Third Proportional to 263,065.50 and 579,753

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Solution

The third proportional to 263,065.50 and 579,753 is: 1,277,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,065.50 : 579,753 = 579,753 : x
  2. Step 2: Convert to fraction form
    263,065.50/579,753 = 579,753/x
  3. Step 3: Cross multiply
    263,065.50x = 579,753 × 579,753
  4. Step 4: Simplify right side
    263,065.50x = 336,113,541,009
  5. Step 5: Solve for x
    x = 336,113,541,009/263,065.50
  6. Step 6: Final answer
    x = 1,277,680.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.