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Finding the Third Proportional to 385,072 and 595,104

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Solution

The third proportional to 385,072 and 595,104 is: 919,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,072 : 595,104 = 595,104 : x
  2. Step 2: Convert to fraction form
    385,072/595,104 = 595,104/x
  3. Step 3: Cross multiply
    385,072x = 595,104 × 595,104
  4. Step 4: Simplify right side
    385,072x = 354,148,770,816
  5. Step 5: Solve for x
    x = 354,148,770,816/385,072
  6. Step 6: Final answer
    x = 919,694.94

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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.