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Finding the Third Proportional to 412,231.50 and 904,167

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Solution

The third proportional to 412,231.50 and 904,167 is: 1,983,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,231.50 : 904,167 = 904,167 : x
  2. Step 2: Convert to fraction form
    412,231.50/904,167 = 904,167/x
  3. Step 3: Cross multiply
    412,231.50x = 904,167 × 904,167
  4. Step 4: Simplify right side
    412,231.50x = 817,517,963,889
  5. Step 5: Solve for x
    x = 817,517,963,889/412,231.50
  6. Step 6: Final answer
    x = 1,983,152.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.