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Finding the Third Proportional to 602,052.75 and 825,576.75

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Solution

The third proportional to 602,052.75 and 825,576.75 is: 1,132,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,052.75 : 825,576.75 = 825,576.75 : x
  2. Step 2: Convert to fraction form
    602,052.75/825,576.75 = 825,576.75/x
  3. Step 3: Cross multiply
    602,052.75x = 825,576.75 × 825,576.75
  4. Step 4: Simplify right side
    602,052.75x = 681,576,970,140.56
  5. Step 5: Solve for x
    x = 681,576,970,140.56/602,052.75
  6. Step 6: Final answer
    x = 1,132,088.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.