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Finding the Third Proportional to 312,537.75 and 730,290.75

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Solution

The third proportional to 312,537.75 and 730,290.75 is: 1,706,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,537.75 : 730,290.75 = 730,290.75 : x
  2. Step 2: Convert to fraction form
    312,537.75/730,290.75 = 730,290.75/x
  3. Step 3: Cross multiply
    312,537.75x = 730,290.75 × 730,290.75
  4. Step 4: Simplify right side
    312,537.75x = 533,324,579,535.56
  5. Step 5: Solve for x
    x = 533,324,579,535.56/312,537.75
  6. Step 6: Final answer
    x = 1,706,432.52

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.