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Finding the Third Proportional to 219,678 and 475,988

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Solution

The third proportional to 219,678 and 475,988 is: 1,031,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,678 : 475,988 = 475,988 : x
  2. Step 2: Convert to fraction form
    219,678/475,988 = 475,988/x
  3. Step 3: Cross multiply
    219,678x = 475,988 × 475,988
  4. Step 4: Simplify right side
    219,678x = 226,564,576,144
  5. Step 5: Solve for x
    x = 226,564,576,144/219,678
  6. Step 6: Final answer
    x = 1,031,348.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.