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Finding the Third Proportional to 236,522 and 509,980

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Solution

The third proportional to 236,522 and 509,980 is: 1,099,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,522 : 509,980 = 509,980 : x
  2. Step 2: Convert to fraction form
    236,522/509,980 = 509,980/x
  3. Step 3: Cross multiply
    236,522x = 509,980 × 509,980
  4. Step 4: Simplify right side
    236,522x = 260,079,600,400
  5. Step 5: Solve for x
    x = 260,079,600,400/236,522
  6. Step 6: Final answer
    x = 1,099,600.04

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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.