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Finding the Third Proportional to 546,180.75 and 835,902

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Solution

The third proportional to 546,180.75 and 835,902 is: 1,279,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,180.75 : 835,902 = 835,902 : x
  2. Step 2: Convert to fraction form
    546,180.75/835,902 = 835,902/x
  3. Step 3: Cross multiply
    546,180.75x = 835,902 × 835,902
  4. Step 4: Simplify right side
    546,180.75x = 698,732,153,604
  5. Step 5: Solve for x
    x = 698,732,153,604/546,180.75
  6. Step 6: Final answer
    x = 1,279,305.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.