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Finding the Third Proportional to 430,936.88 and 874,185.75

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Solution

The third proportional to 430,936.88 and 874,185.75 is: 1,773,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,936.88 : 874,185.75 = 874,185.75 : x
  2. Step 2: Convert to fraction form
    430,936.88/874,185.75 = 874,185.75/x
  3. Step 3: Cross multiply
    430,936.88x = 874,185.75 × 874,185.75
  4. Step 4: Simplify right side
    430,936.88x = 764,200,725,503.06
  5. Step 5: Solve for x
    x = 764,200,725,503.06/430,936.88
  6. Step 6: Final answer
    x = 1,773,347.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.