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Finding the Third Proportional to 479,576 and 973,327

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Solution

The third proportional to 479,576 and 973,327 is: 1,975,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,576 : 973,327 = 973,327 : x
  2. Step 2: Convert to fraction form
    479,576/973,327 = 973,327/x
  3. Step 3: Cross multiply
    479,576x = 973,327 × 973,327
  4. Step 4: Simplify right side
    479,576x = 947,365,448,929
  5. Step 5: Solve for x
    x = 947,365,448,929/479,576
  6. Step 6: Final answer
    x = 1,975,422.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.