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Finding the Third Proportional to 472,533.75 and 739,185.75

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Solution

The third proportional to 472,533.75 and 739,185.75 is: 1,156,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,533.75 : 739,185.75 = 739,185.75 : x
  2. Step 2: Convert to fraction form
    472,533.75/739,185.75 = 739,185.75/x
  3. Step 3: Cross multiply
    472,533.75x = 739,185.75 × 739,185.75
  4. Step 4: Simplify right side
    472,533.75x = 546,395,573,003.06
  5. Step 5: Solve for x
    x = 546,395,573,003.06/472,533.75
  6. Step 6: Final answer
    x = 1,156,310.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.