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Finding the Third Proportional to 457,931 and 673,185

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Solution

The third proportional to 457,931 and 673,185 is: 989,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,931 : 673,185 = 673,185 : x
  2. Step 2: Convert to fraction form
    457,931/673,185 = 673,185/x
  3. Step 3: Cross multiply
    457,931x = 673,185 × 673,185
  4. Step 4: Simplify right side
    457,931x = 453,178,044,225
  5. Step 5: Solve for x
    x = 453,178,044,225/457,931
  6. Step 6: Final answer
    x = 989,620.80

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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.