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Finding the Third Proportional to 351,033.75 and 758,002.50

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Solution

The third proportional to 351,033.75 and 758,002.50 is: 1,636,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,033.75 : 758,002.50 = 758,002.50 : x
  2. Step 2: Convert to fraction form
    351,033.75/758,002.50 = 758,002.50/x
  3. Step 3: Cross multiply
    351,033.75x = 758,002.50 × 758,002.50
  4. Step 4: Simplify right side
    351,033.75x = 574,567,790,006.25
  5. Step 5: Solve for x
    x = 574,567,790,006.25/351,033.75
  6. Step 6: Final answer
    x = 1,636,787.89

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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.