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Finding the Third Proportional to 546,504 and 836,340

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Solution

The third proportional to 546,504 and 836,340 is: 1,279,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,504 : 836,340 = 836,340 : x
  2. Step 2: Convert to fraction form
    546,504/836,340 = 836,340/x
  3. Step 3: Cross multiply
    546,504x = 836,340 × 836,340
  4. Step 4: Simplify right side
    546,504x = 699,464,595,600
  5. Step 5: Solve for x
    x = 699,464,595,600/546,504
  6. Step 6: Final answer
    x = 1,279,889.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.