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Finding the Third Proportional to 263,680 and 546,043

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Solution

The third proportional to 263,680 and 546,043 is: 1,130,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,680 : 546,043 = 546,043 : x
  2. Step 2: Convert to fraction form
    263,680/546,043 = 546,043/x
  3. Step 3: Cross multiply
    263,680x = 546,043 × 546,043
  4. Step 4: Simplify right side
    263,680x = 298,162,957,849
  5. Step 5: Solve for x
    x = 298,162,957,849/263,680
  6. Step 6: Final answer
    x = 1,130,775.78

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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.