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Finding the Third Proportional to 350,076 and 543,114

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Solution

The third proportional to 350,076 and 543,114 is: 842,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,076 : 543,114 = 543,114 : x
  2. Step 2: Convert to fraction form
    350,076/543,114 = 543,114/x
  3. Step 3: Cross multiply
    350,076x = 543,114 × 543,114
  4. Step 4: Simplify right side
    350,076x = 294,972,816,996
  5. Step 5: Solve for x
    x = 294,972,816,996/350,076
  6. Step 6: Final answer
    x = 842,596.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.