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Finding the Third Proportional to 630,733.50 and 945,902.25

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Solution

The third proportional to 630,733.50 and 945,902.25 is: 1,418,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,733.50 : 945,902.25 = 945,902.25 : x
  2. Step 2: Convert to fraction form
    630,733.50/945,902.25 = 945,902.25/x
  3. Step 3: Cross multiply
    630,733.50x = 945,902.25 × 945,902.25
  4. Step 4: Simplify right side
    630,733.50x = 894,731,066,555.06
  5. Step 5: Solve for x
    x = 894,731,066,555.06/630,733.50
  6. Step 6: Final answer
    x = 1,418,556.44

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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.