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Finding the Third Proportional to 630,336 and 945,984

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Solution

The third proportional to 630,336 and 945,984 is: 1,419,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,336 : 945,984 = 945,984 : x
  2. Step 2: Convert to fraction form
    630,336/945,984 = 945,984/x
  3. Step 3: Cross multiply
    630,336x = 945,984 × 945,984
  4. Step 4: Simplify right side
    630,336x = 894,885,728,256
  5. Step 5: Solve for x
    x = 894,885,728,256/630,336
  6. Step 6: Final answer
    x = 1,419,696.37

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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.