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Finding the Third Proportional to 305,906.63 and 572,310.56

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Solution

The third proportional to 305,906.63 and 572,310.56 is: 1,070,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.63 : 572,310.56 = 572,310.56 : x
  2. Step 2: Convert to fraction form
    305,906.63/572,310.56 = 572,310.56/x
  3. Step 3: Cross multiply
    305,906.63x = 572,310.56 × 572,310.56
  4. Step 4: Simplify right side
    305,906.63x = 327,539,379,949.07
  5. Step 5: Solve for x
    x = 327,539,379,949.07/305,906.63
  6. Step 6: Final answer
    x = 1,070,716.86

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.