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Finding the Third Proportional to 263,680 and 546,052

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Solution

The third proportional to 263,680 and 546,052 is: 1,130,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,680 : 546,052 = 546,052 : x
  2. Step 2: Convert to fraction form
    263,680/546,052 = 546,052/x
  3. Step 3: Cross multiply
    263,680x = 546,052 × 546,052
  4. Step 4: Simplify right side
    263,680x = 298,172,786,704
  5. Step 5: Solve for x
    x = 298,172,786,704/263,680
  6. Step 6: Final answer
    x = 1,130,813.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.