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Finding the Third Proportional to 244,126 and 369,633

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Solution

The third proportional to 244,126 and 369,633 is: 559,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,126 : 369,633 = 369,633 : x
  2. Step 2: Convert to fraction form
    244,126/369,633 = 369,633/x
  3. Step 3: Cross multiply
    244,126x = 369,633 × 369,633
  4. Step 4: Simplify right side
    244,126x = 136,628,554,689
  5. Step 5: Solve for x
    x = 136,628,554,689/244,126
  6. Step 6: Final answer
    x = 559,664.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.