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Finding the Third Proportional to 236,137 and 509,587

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Solution

The third proportional to 236,137 and 509,587 is: 1,099,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,137 : 509,587 = 509,587 : x
  2. Step 2: Convert to fraction form
    236,137/509,587 = 509,587/x
  3. Step 3: Cross multiply
    236,137x = 509,587 × 509,587
  4. Step 4: Simplify right side
    236,137x = 259,678,910,569
  5. Step 5: Solve for x
    x = 259,678,910,569/236,137
  6. Step 6: Final answer
    x = 1,099,695.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.