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Finding the Third Proportional to 297,837 and 580,628.25

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Solution

The third proportional to 297,837 and 580,628.25 is: 1,131,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,837 : 580,628.25 = 580,628.25 : x
  2. Step 2: Convert to fraction form
    297,837/580,628.25 = 580,628.25/x
  3. Step 3: Cross multiply
    297,837x = 580,628.25 × 580,628.25
  4. Step 4: Simplify right side
    297,837x = 337,129,164,698.06
  5. Step 5: Solve for x
    x = 337,129,164,698.06/297,837
  6. Step 6: Final answer
    x = 1,131,925.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.