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Finding the Third Proportional to 485,406.75 and 759,792.75

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Solution

The third proportional to 485,406.75 and 759,792.75 is: 1,189,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,406.75 : 759,792.75 = 759,792.75 : x
  2. Step 2: Convert to fraction form
    485,406.75/759,792.75 = 759,792.75/x
  3. Step 3: Cross multiply
    485,406.75x = 759,792.75 × 759,792.75
  4. Step 4: Simplify right side
    485,406.75x = 577,285,022,952.56
  5. Step 5: Solve for x
    x = 577,285,022,952.56/485,406.75
  6. Step 6: Final answer
    x = 1,189,281.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.