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Finding the Third Proportional to 457,942 and 673,670

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Solution

The third proportional to 457,942 and 673,670 is: 991,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,942 : 673,670 = 673,670 : x
  2. Step 2: Convert to fraction form
    457,942/673,670 = 673,670/x
  3. Step 3: Cross multiply
    457,942x = 673,670 × 673,670
  4. Step 4: Simplify right side
    457,942x = 453,831,268,900
  5. Step 5: Solve for x
    x = 453,831,268,900/457,942
  6. Step 6: Final answer
    x = 991,023.47

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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.