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Finding the Third Proportional to 449,195.75 and 657,073.75

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Solution

The third proportional to 449,195.75 and 657,073.75 is: 961,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,195.75 : 657,073.75 = 657,073.75 : x
  2. Step 2: Convert to fraction form
    449,195.75/657,073.75 = 657,073.75/x
  3. Step 3: Cross multiply
    449,195.75x = 657,073.75 × 657,073.75
  4. Step 4: Simplify right side
    449,195.75x = 431,745,912,939.06
  5. Step 5: Solve for x
    x = 431,745,912,939.06/449,195.75
  6. Step 6: Final answer
    x = 961,153.16

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Why These Related Problems?

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