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Finding the Third Proportional to 236,524 and 509,984

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Solution

The third proportional to 236,524 and 509,984 is: 1,099,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,524 : 509,984 = 509,984 : x
  2. Step 2: Convert to fraction form
    236,524/509,984 = 509,984/x
  3. Step 3: Cross multiply
    236,524x = 509,984 × 509,984
  4. Step 4: Simplify right side
    236,524x = 260,083,680,256
  5. Step 5: Solve for x
    x = 260,083,680,256/236,524
  6. Step 6: Final answer
    x = 1,099,607.99

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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.