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Finding the Third Proportional to 263,682 and 546,048

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Solution

The third proportional to 263,682 and 546,048 is: 1,130,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,682 : 546,048 = 546,048 : x
  2. Step 2: Convert to fraction form
    263,682/546,048 = 546,048/x
  3. Step 3: Cross multiply
    263,682x = 546,048 × 546,048
  4. Step 4: Simplify right side
    263,682x = 298,168,418,304
  5. Step 5: Solve for x
    x = 298,168,418,304/263,682
  6. Step 6: Final answer
    x = 1,130,787.91

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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.