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Finding the Third Proportional to 457,936 and 673,658

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Solution

The third proportional to 457,936 and 673,658 is: 991,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,936 : 673,658 = 673,658 : x
  2. Step 2: Convert to fraction form
    457,936/673,658 = 673,658/x
  3. Step 3: Cross multiply
    457,936x = 673,658 × 673,658
  4. Step 4: Simplify right side
    457,936x = 453,815,100,964
  5. Step 5: Solve for x
    x = 453,815,100,964/457,936
  6. Step 6: Final answer
    x = 991,001.15

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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.