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Finding the Third Proportional to 457,930.69 and 673,161.19

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Solution

The third proportional to 457,930.69 and 673,161.19 is: 989,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,930.69 : 673,161.19 = 673,161.19 : x
  2. Step 2: Convert to fraction form
    457,930.69/673,161.19 = 673,161.19/x
  3. Step 3: Cross multiply
    457,930.69x = 673,161.19 × 673,161.19
  4. Step 4: Simplify right side
    457,930.69x = 453,145,984,356.41
  5. Step 5: Solve for x
    x = 453,145,984,356.41/457,930.69
  6. Step 6: Final answer
    x = 989,551.47

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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.