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Finding the Third Proportional to 450,012 and 657,247

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Solution

The third proportional to 450,012 and 657,247 is: 959,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,012 : 657,247 = 657,247 : x
  2. Step 2: Convert to fraction form
    450,012/657,247 = 657,247/x
  3. Step 3: Cross multiply
    450,012x = 657,247 × 657,247
  4. Step 4: Simplify right side
    450,012x = 431,973,619,009
  5. Step 5: Solve for x
    x = 431,973,619,009/450,012
  6. Step 6: Final answer
    x = 959,915.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.