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Finding the Third Proportional to 485,387.81 and 759,771.28

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Solution

The third proportional to 485,387.81 and 759,771.28 is: 1,189,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,387.81 : 759,771.28 = 759,771.28 : x
  2. Step 2: Convert to fraction form
    485,387.81/759,771.28 = 759,771.28/x
  3. Step 3: Cross multiply
    485,387.81x = 759,771.28 × 759,771.28
  4. Step 4: Simplify right side
    485,387.81x = 577,252,399,812.27
  5. Step 5: Solve for x
    x = 577,252,399,812.27/485,387.81
  6. Step 6: Final answer
    x = 1,189,260.19

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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.