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Finding the Third Proportional to 246,599 and 369,899

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Solution

The third proportional to 246,599 and 369,899 is: 554,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,599 : 369,899 = 369,899 : x
  2. Step 2: Convert to fraction form
    246,599/369,899 = 369,899/x
  3. Step 3: Cross multiply
    246,599x = 369,899 × 369,899
  4. Step 4: Simplify right side
    246,599x = 136,825,270,201
  5. Step 5: Solve for x
    x = 136,825,270,201/246,599
  6. Step 6: Final answer
    x = 554,849.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.