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Finding the Third Proportional to 309,975.75 and 657,150

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Solution

The third proportional to 309,975.75 and 657,150 is: 1,393,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,975.75 : 657,150 = 657,150 : x
  2. Step 2: Convert to fraction form
    309,975.75/657,150 = 657,150/x
  3. Step 3: Cross multiply
    309,975.75x = 657,150 × 657,150
  4. Step 4: Simplify right side
    309,975.75x = 431,846,122,500
  5. Step 5: Solve for x
    x = 431,846,122,500/309,975.75
  6. Step 6: Final answer
    x = 1,393,160.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.