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Finding the Third Proportional to 457,956 and 673,683

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Solution

The third proportional to 457,956 and 673,683 is: 991,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,956 : 673,683 = 673,683 : x
  2. Step 2: Convert to fraction form
    457,956/673,683 = 673,683/x
  3. Step 3: Cross multiply
    457,956x = 673,683 × 673,683
  4. Step 4: Simplify right side
    457,956x = 453,848,784,489
  5. Step 5: Solve for x
    x = 453,848,784,489/457,956
  6. Step 6: Final answer
    x = 991,031.42

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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.