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Finding the Third Proportional to 457,899.75 and 673,131

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Solution

The third proportional to 457,899.75 and 673,131 is: 989,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,899.75 : 673,131 = 673,131 : x
  2. Step 2: Convert to fraction form
    457,899.75/673,131 = 673,131/x
  3. Step 3: Cross multiply
    457,899.75x = 673,131 × 673,131
  4. Step 4: Simplify right side
    457,899.75x = 453,105,343,161
  5. Step 5: Solve for x
    x = 453,105,343,161/457,899.75
  6. Step 6: Final answer
    x = 989,529.57

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Why These Related Problems?

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