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Finding the Third Proportional to 630,181.50 and 945,732

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Solution

The third proportional to 630,181.50 and 945,732 is: 1,419,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,181.50 : 945,732 = 945,732 : x
  2. Step 2: Convert to fraction form
    630,181.50/945,732 = 945,732/x
  3. Step 3: Cross multiply
    630,181.50x = 945,732 × 945,732
  4. Step 4: Simplify right side
    630,181.50x = 894,409,015,824
  5. Step 5: Solve for x
    x = 894,409,015,824/630,181.50
  6. Step 6: Final answer
    x = 1,419,287.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.