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Finding the Third Proportional to 598,088 and 1,306,256

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Solution

The third proportional to 598,088 and 1,306,256 is: 2,852,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,088 : 1,306,256 = 1,306,256 : x
  2. Step 2: Convert to fraction form
    598,088/1,306,256 = 1,306,256/x
  3. Step 3: Cross multiply
    598,088x = 1,306,256 × 1,306,256
  4. Step 4: Simplify right side
    598,088x = 1,706,304,737,536
  5. Step 5: Solve for x
    x = 1,706,304,737,536/598,088
  6. Step 6: Final answer
    x = 2,852,932.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.