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Finding the Third Proportional to 246,663 and 369,002

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Solution

The third proportional to 246,663 and 369,002 is: 552,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,663 : 369,002 = 369,002 : x
  2. Step 2: Convert to fraction form
    246,663/369,002 = 369,002/x
  3. Step 3: Cross multiply
    246,663x = 369,002 × 369,002
  4. Step 4: Simplify right side
    246,663x = 136,162,476,004
  5. Step 5: Solve for x
    x = 136,162,476,004/246,663
  6. Step 6: Final answer
    x = 552,018.24

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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.