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Finding the Third Proportional to 263,676 and 546,044.25

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Solution

The third proportional to 263,676 and 546,044.25 is: 1,130,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,676 : 546,044.25 = 546,044.25 : x
  2. Step 2: Convert to fraction form
    263,676/546,044.25 = 546,044.25/x
  3. Step 3: Cross multiply
    263,676x = 546,044.25 × 546,044.25
  4. Step 4: Simplify right side
    263,676x = 298,164,322,958.06
  5. Step 5: Solve for x
    x = 298,164,322,958.06/263,676
  6. Step 6: Final answer
    x = 1,130,798.11

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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.