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Finding the Third Proportional to 263,696 and 546,076

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Solution

The third proportional to 263,696 and 546,076 is: 1,130,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,696 : 546,076 = 546,076 : x
  2. Step 2: Convert to fraction form
    263,696/546,076 = 546,076/x
  3. Step 3: Cross multiply
    263,696x = 546,076 × 546,076
  4. Step 4: Simplify right side
    263,696x = 298,198,997,776
  5. Step 5: Solve for x
    x = 298,198,997,776/263,696
  6. Step 6: Final answer
    x = 1,130,843.84

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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.