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Finding the Third Proportional to 472,000 and 699,152

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Solution

The third proportional to 472,000 and 699,152 is: 1,035,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,000 : 699,152 = 699,152 : x
  2. Step 2: Convert to fraction form
    472,000/699,152 = 699,152/x
  3. Step 3: Cross multiply
    472,000x = 699,152 × 699,152
  4. Step 4: Simplify right side
    472,000x = 488,813,519,104
  5. Step 5: Solve for x
    x = 488,813,519,104/472,000
  6. Step 6: Final answer
    x = 1,035,621.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.