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Finding the Third Proportional to 251,324 and 546,880

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Solution

The third proportional to 251,324 and 546,880 is: 1,190,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,324 : 546,880 = 546,880 : x
  2. Step 2: Convert to fraction form
    251,324/546,880 = 546,880/x
  3. Step 3: Cross multiply
    251,324x = 546,880 × 546,880
  4. Step 4: Simplify right side
    251,324x = 299,077,734,400
  5. Step 5: Solve for x
    x = 299,077,734,400/251,324
  6. Step 6: Final answer
    x = 1,190,008.65

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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.