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Finding the Third Proportional to 228,840.56 and 478,594.31

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Solution

The third proportional to 228,840.56 and 478,594.31 is: 1,000,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,840.56 : 478,594.31 = 478,594.31 : x
  2. Step 2: Convert to fraction form
    228,840.56/478,594.31 = 478,594.31/x
  3. Step 3: Cross multiply
    228,840.56x = 478,594.31 × 478,594.31
  4. Step 4: Simplify right side
    228,840.56x = 229,052,515,957.35
  5. Step 5: Solve for x
    x = 229,052,515,957.35/228,840.56
  6. Step 6: Final answer
    x = 1,000,926.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.