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Finding the Third Proportional to 457,356.94 and 669,632.91

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Solution

The third proportional to 457,356.94 and 669,632.91 is: 980,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,356.94 : 669,632.91 = 669,632.91 : x
  2. Step 2: Convert to fraction form
    457,356.94/669,632.91 = 669,632.91/x
  3. Step 3: Cross multiply
    457,356.94x = 669,632.91 × 669,632.91
  4. Step 4: Simplify right side
    457,356.94x = 448,408,229,132.82
  5. Step 5: Solve for x
    x = 448,408,229,132.82/457,356.94
  6. Step 6: Final answer
    x = 980,433.86

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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.