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Finding the Third Proportional to 748,309.50 and 1,641,495

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Solution

The third proportional to 748,309.50 and 1,641,495 is: 3,600,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,309.50 : 1,641,495 = 1,641,495 : x
  2. Step 2: Convert to fraction form
    748,309.50/1,641,495 = 1,641,495/x
  3. Step 3: Cross multiply
    748,309.50x = 1,641,495 × 1,641,495
  4. Step 4: Simplify right side
    748,309.50x = 2,694,505,835,025
  5. Step 5: Solve for x
    x = 2,694,505,835,025/748,309.50
  6. Step 6: Final answer
    x = 3,600,790.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.