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Finding the Third Proportional to 548,970 and 792,828

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Solution

The third proportional to 548,970 and 792,828 is: 1,145,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,970 : 792,828 = 792,828 : x
  2. Step 2: Convert to fraction form
    548,970/792,828 = 792,828/x
  3. Step 3: Cross multiply
    548,970x = 792,828 × 792,828
  4. Step 4: Simplify right side
    548,970x = 628,576,237,584
  5. Step 5: Solve for x
    x = 628,576,237,584/548,970
  6. Step 6: Final answer
    x = 1,145,010.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.