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Finding the Third Proportional to 453,021.75 and 544,056.75

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Solution

The third proportional to 453,021.75 and 544,056.75 is: 653,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,021.75 : 544,056.75 = 544,056.75 : x
  2. Step 2: Convert to fraction form
    453,021.75/544,056.75 = 544,056.75/x
  3. Step 3: Cross multiply
    453,021.75x = 544,056.75 × 544,056.75
  4. Step 4: Simplify right side
    453,021.75x = 295,997,747,220.56
  5. Step 5: Solve for x
    x = 295,997,747,220.56/453,021.75
  6. Step 6: Final answer
    x = 653,385.29

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.