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Finding the Third Proportional to 236,988 and 519,898

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Solution

The third proportional to 236,988 and 519,898 is: 1,140,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,988 : 519,898 = 519,898 : x
  2. Step 2: Convert to fraction form
    236,988/519,898 = 519,898/x
  3. Step 3: Cross multiply
    236,988x = 519,898 × 519,898
  4. Step 4: Simplify right side
    236,988x = 270,293,930,404
  5. Step 5: Solve for x
    x = 270,293,930,404/236,988
  6. Step 6: Final answer
    x = 1,140,538.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.