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Finding the Third Proportional to 457,895 and 673,122

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Solution

The third proportional to 457,895 and 673,122 is: 989,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,895 : 673,122 = 673,122 : x
  2. Step 2: Convert to fraction form
    457,895/673,122 = 673,122/x
  3. Step 3: Cross multiply
    457,895x = 673,122 × 673,122
  4. Step 4: Simplify right side
    457,895x = 453,093,226,884
  5. Step 5: Solve for x
    x = 453,093,226,884/457,895
  6. Step 6: Final answer
    x = 989,513.38

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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.