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Finding the Third Proportional to 457,897 and 673,125

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Solution

The third proportional to 457,897 and 673,125 is: 989,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,897 : 673,125 = 673,125 : x
  2. Step 2: Convert to fraction form
    457,897/673,125 = 673,125/x
  3. Step 3: Cross multiply
    457,897x = 673,125 × 673,125
  4. Step 4: Simplify right side
    457,897x = 453,097,265,625
  5. Step 5: Solve for x
    x = 453,097,265,625/457,897
  6. Step 6: Final answer
    x = 989,517.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.