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Finding the Third Proportional to 546,178.50 and 835,900

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Solution

The third proportional to 546,178.50 and 835,900 is: 1,279,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,178.50 : 835,900 = 835,900 : x
  2. Step 2: Convert to fraction form
    546,178.50/835,900 = 835,900/x
  3. Step 3: Cross multiply
    546,178.50x = 835,900 × 835,900
  4. Step 4: Simplify right side
    546,178.50x = 698,728,810,000
  5. Step 5: Solve for x
    x = 698,728,810,000/546,178.50
  6. Step 6: Final answer
    x = 1,279,304.86

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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.