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Finding the Third Proportional to 219,744 and 470,592

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Solution

The third proportional to 219,744 and 470,592 is: 1,007,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 470,592 = 470,592 : x
  2. Step 2: Convert to fraction form
    219,744/470,592 = 470,592/x
  3. Step 3: Cross multiply
    219,744x = 470,592 × 470,592
  4. Step 4: Simplify right side
    219,744x = 221,456,830,464
  5. Step 5: Solve for x
    x = 221,456,830,464/219,744
  6. Step 6: Final answer
    x = 1,007,794.66

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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.