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Finding the Third Proportional to 429,252 and 847,698

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Solution

The third proportional to 429,252 and 847,698 is: 1,674,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,252 : 847,698 = 847,698 : x
  2. Step 2: Convert to fraction form
    429,252/847,698 = 847,698/x
  3. Step 3: Cross multiply
    429,252x = 847,698 × 847,698
  4. Step 4: Simplify right side
    429,252x = 718,591,899,204
  5. Step 5: Solve for x
    x = 718,591,899,204/429,252
  6. Step 6: Final answer
    x = 1,674,056.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.