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Finding the Third Proportional to 351,010.50 and 758,010.75

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Solution

The third proportional to 351,010.50 and 758,010.75 is: 1,636,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,010.50 : 758,010.75 = 758,010.75 : x
  2. Step 2: Convert to fraction form
    351,010.50/758,010.75 = 758,010.75/x
  3. Step 3: Cross multiply
    351,010.50x = 758,010.75 × 758,010.75
  4. Step 4: Simplify right side
    351,010.50x = 574,580,297,115.56
  5. Step 5: Solve for x
    x = 574,580,297,115.56/351,010.50
  6. Step 6: Final answer
    x = 1,636,931.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.