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Finding the Third Proportional to 219,296 and 468,544

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Solution

The third proportional to 219,296 and 468,544 is: 1,001,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,296 : 468,544 = 468,544 : x
  2. Step 2: Convert to fraction form
    219,296/468,544 = 468,544/x
  3. Step 3: Cross multiply
    219,296x = 468,544 × 468,544
  4. Step 4: Simplify right side
    219,296x = 219,533,479,936
  5. Step 5: Solve for x
    x = 219,533,479,936/219,296
  6. Step 6: Final answer
    x = 1,001,082.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.