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Finding the Third Proportional to 492,105.38 and 759,962.25

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Solution

The third proportional to 492,105.38 and 759,962.25 is: 1,173,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,105.38 : 759,962.25 = 759,962.25 : x
  2. Step 2: Convert to fraction form
    492,105.38/759,962.25 = 759,962.25/x
  3. Step 3: Cross multiply
    492,105.38x = 759,962.25 × 759,962.25
  4. Step 4: Simplify right side
    492,105.38x = 577,542,621,425.06
  5. Step 5: Solve for x
    x = 577,542,621,425.06/492,105.38
  6. Step 6: Final answer
    x = 1,173,615.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.