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Finding the Third Proportional to 251,041 and 546,376

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Solution

The third proportional to 251,041 and 546,376 is: 1,189,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,041 : 546,376 = 546,376 : x
  2. Step 2: Convert to fraction form
    251,041/546,376 = 546,376/x
  3. Step 3: Cross multiply
    251,041x = 546,376 × 546,376
  4. Step 4: Simplify right side
    251,041x = 298,526,733,376
  5. Step 5: Solve for x
    x = 298,526,733,376/251,041
  6. Step 6: Final answer
    x = 1,189,155.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.