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Finding the Third Proportional to 362,576.25 and 790,148.25

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Solution

The third proportional to 362,576.25 and 790,148.25 is: 1,721,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,576.25 : 790,148.25 = 790,148.25 : x
  2. Step 2: Convert to fraction form
    362,576.25/790,148.25 = 790,148.25/x
  3. Step 3: Cross multiply
    362,576.25x = 790,148.25 × 790,148.25
  4. Step 4: Simplify right side
    362,576.25x = 624,334,256,978.06
  5. Step 5: Solve for x
    x = 624,334,256,978.06/362,576.25
  6. Step 6: Final answer
    x = 1,721,939.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.