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Finding the Third Proportional to 453,757.50 and 573,441.75

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Solution

The third proportional to 453,757.50 and 573,441.75 is: 724,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,757.50 : 573,441.75 = 573,441.75 : x
  2. Step 2: Convert to fraction form
    453,757.50/573,441.75 = 573,441.75/x
  3. Step 3: Cross multiply
    453,757.50x = 573,441.75 × 573,441.75
  4. Step 4: Simplify right side
    453,757.50x = 328,835,440,643.06
  5. Step 5: Solve for x
    x = 328,835,440,643.06/453,757.50
  6. Step 6: Final answer
    x = 724,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.