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Finding the Third Proportional to 478,995.50 and 666,005

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Solution

The third proportional to 478,995.50 and 666,005 is: 926,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,995.50 : 666,005 = 666,005 : x
  2. Step 2: Convert to fraction form
    478,995.50/666,005 = 666,005/x
  3. Step 3: Cross multiply
    478,995.50x = 666,005 × 666,005
  4. Step 4: Simplify right side
    478,995.50x = 443,562,660,025
  5. Step 5: Solve for x
    x = 443,562,660,025/478,995.50
  6. Step 6: Final answer
    x = 926,026.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.