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Finding the Third Proportional to 347,672 and 837,286

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Solution

The third proportional to 347,672 and 837,286 is: 2,016,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,672 : 837,286 = 837,286 : x
  2. Step 2: Convert to fraction form
    347,672/837,286 = 837,286/x
  3. Step 3: Cross multiply
    347,672x = 837,286 × 837,286
  4. Step 4: Simplify right side
    347,672x = 701,047,845,796
  5. Step 5: Solve for x
    x = 701,047,845,796/347,672
  6. Step 6: Final answer
    x = 2,016,405.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.