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Finding the Third Proportional to 546,500 and 836,334

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Solution

The third proportional to 546,500 and 836,334 is: 1,279,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,500 : 836,334 = 836,334 : x
  2. Step 2: Convert to fraction form
    546,500/836,334 = 836,334/x
  3. Step 3: Cross multiply
    546,500x = 836,334 × 836,334
  4. Step 4: Simplify right side
    546,500x = 699,454,559,556
  5. Step 5: Solve for x
    x = 699,454,559,556/546,500
  6. Step 6: Final answer
    x = 1,279,880.26

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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.