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Finding the Third Proportional to 457,894.69 and 673,125.19

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Solution

The third proportional to 457,894.69 and 673,125.19 is: 989,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.69 : 673,125.19 = 673,125.19 : x
  2. Step 2: Convert to fraction form
    457,894.69/673,125.19 = 673,125.19/x
  3. Step 3: Cross multiply
    457,894.69x = 673,125.19 × 673,125.19
  4. Step 4: Simplify right side
    457,894.69x = 453,097,518,046.91
  5. Step 5: Solve for x
    x = 453,097,518,046.91/457,894.69
  6. Step 6: Final answer
    x = 989,523.42

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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.