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Finding the Third Proportional to 469,952 and 669,936

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Solution

The third proportional to 469,952 and 669,936 is: 955,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,952 : 669,936 = 669,936 : x
  2. Step 2: Convert to fraction form
    469,952/669,936 = 669,936/x
  3. Step 3: Cross multiply
    469,952x = 669,936 × 669,936
  4. Step 4: Simplify right side
    469,952x = 448,814,244,096
  5. Step 5: Solve for x
    x = 448,814,244,096/469,952
  6. Step 6: Final answer
    x = 955,021.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.