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Finding the Third Proportional to 219,752 and 474,544

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Solution

The third proportional to 219,752 and 474,544 is: 1,024,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,752 : 474,544 = 474,544 : x
  2. Step 2: Convert to fraction form
    219,752/474,544 = 474,544/x
  3. Step 3: Cross multiply
    219,752x = 474,544 × 474,544
  4. Step 4: Simplify right side
    219,752x = 225,192,007,936
  5. Step 5: Solve for x
    x = 225,192,007,936/219,752
  6. Step 6: Final answer
    x = 1,024,755.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.