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Finding the Third Proportional to 452,845.50 and 666,144

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Solution

The third proportional to 452,845.50 and 666,144 is: 979,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,845.50 : 666,144 = 666,144 : x
  2. Step 2: Convert to fraction form
    452,845.50/666,144 = 666,144/x
  3. Step 3: Cross multiply
    452,845.50x = 666,144 × 666,144
  4. Step 4: Simplify right side
    452,845.50x = 443,747,828,736
  5. Step 5: Solve for x
    x = 443,747,828,736/452,845.50
  6. Step 6: Final answer
    x = 979,909.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.