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Finding the Third Proportional to 457,894.69 and 673,122.66

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Solution

The third proportional to 457,894.69 and 673,122.66 is: 989,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894.69 : 673,122.66 = 673,122.66 : x
  2. Step 2: Convert to fraction form
    457,894.69/673,122.66 = 673,122.66/x
  3. Step 3: Cross multiply
    457,894.69x = 673,122.66 × 673,122.66
  4. Step 4: Simplify right side
    457,894.69x = 453,094,110,357.06
  5. Step 5: Solve for x
    x = 453,094,110,357.06/457,894.69
  6. Step 6: Final answer
    x = 989,515.98

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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.