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Finding the Third Proportional to 246,949 and 380,685

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Solution

The third proportional to 246,949 and 380,685 is: 586,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,949 : 380,685 = 380,685 : x
  2. Step 2: Convert to fraction form
    246,949/380,685 = 380,685/x
  3. Step 3: Cross multiply
    246,949x = 380,685 × 380,685
  4. Step 4: Simplify right side
    246,949x = 144,921,069,225
  5. Step 5: Solve for x
    x = 144,921,069,225/246,949
  6. Step 6: Final answer
    x = 586,846.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.