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Finding the Third Proportional to 241,278.50 and 519,953

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Solution

The third proportional to 241,278.50 and 519,953 is: 1,120,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,278.50 : 519,953 = 519,953 : x
  2. Step 2: Convert to fraction form
    241,278.50/519,953 = 519,953/x
  3. Step 3: Cross multiply
    241,278.50x = 519,953 × 519,953
  4. Step 4: Simplify right side
    241,278.50x = 270,351,122,209
  5. Step 5: Solve for x
    x = 270,351,122,209/241,278.50
  6. Step 6: Final answer
    x = 1,120,494.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.