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Finding the Third Proportional to 457,831 and 673,510

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Solution

The third proportional to 457,831 and 673,510 is: 990,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,831 : 673,510 = 673,510 : x
  2. Step 2: Convert to fraction form
    457,831/673,510 = 673,510/x
  3. Step 3: Cross multiply
    457,831x = 673,510 × 673,510
  4. Step 4: Simplify right side
    457,831x = 453,615,720,100
  5. Step 5: Solve for x
    x = 453,615,720,100/457,831
  6. Step 6: Final answer
    x = 990,792.93

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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.