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Finding the Third Proportional to 244,566 and 369,315

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Solution

The third proportional to 244,566 and 369,315 is: 557,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,566 : 369,315 = 369,315 : x
  2. Step 2: Convert to fraction form
    244,566/369,315 = 369,315/x
  3. Step 3: Cross multiply
    244,566x = 369,315 × 369,315
  4. Step 4: Simplify right side
    244,566x = 136,393,569,225
  5. Step 5: Solve for x
    x = 136,393,569,225/244,566
  6. Step 6: Final answer
    x = 557,696.37

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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.