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Finding the Third Proportional to 303,977 and 521,573.50

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Solution

The third proportional to 303,977 and 521,573.50 is: 894,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,977 : 521,573.50 = 521,573.50 : x
  2. Step 2: Convert to fraction form
    303,977/521,573.50 = 521,573.50/x
  3. Step 3: Cross multiply
    303,977x = 521,573.50 × 521,573.50
  4. Step 4: Simplify right side
    303,977x = 272,038,915,902.25
  5. Step 5: Solve for x
    x = 272,038,915,902.25/303,977
  6. Step 6: Final answer
    x = 894,932.56

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.