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Finding the Third Proportional to 366,942 and 543,608

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Solution

The third proportional to 366,942 and 543,608 is: 805,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 543,608 = 543,608 : x
  2. Step 2: Convert to fraction form
    366,942/543,608 = 543,608/x
  3. Step 3: Cross multiply
    366,942x = 543,608 × 543,608
  4. Step 4: Simplify right side
    366,942x = 295,509,657,664
  5. Step 5: Solve for x
    x = 295,509,657,664/366,942
  6. Step 6: Final answer
    x = 805,330.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.