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Finding the Third Proportional to 351,022.50 and 758,083.50

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Solution

The third proportional to 351,022.50 and 758,083.50 is: 1,637,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,022.50 : 758,083.50 = 758,083.50 : x
  2. Step 2: Convert to fraction form
    351,022.50/758,083.50 = 758,083.50/x
  3. Step 3: Cross multiply
    351,022.50x = 758,083.50 × 758,083.50
  4. Step 4: Simplify right side
    351,022.50x = 574,690,592,972.25
  5. Step 5: Solve for x
    x = 574,690,592,972.25/351,022.50
  6. Step 6: Final answer
    x = 1,637,190.19

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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.