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Finding the Third Proportional to 348,123 and 469,698

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Solution

The third proportional to 348,123 and 469,698 is: 633,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,123 : 469,698 = 469,698 : x
  2. Step 2: Convert to fraction form
    348,123/469,698 = 469,698/x
  3. Step 3: Cross multiply
    348,123x = 469,698 × 469,698
  4. Step 4: Simplify right side
    348,123x = 220,616,211,204
  5. Step 5: Solve for x
    x = 220,616,211,204/348,123
  6. Step 6: Final answer
    x = 633,730.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.