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Finding the Third Proportional to 461,712 and 693,906

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Solution

The third proportional to 461,712 and 693,906 is: 1,042,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,712 : 693,906 = 693,906 : x
  2. Step 2: Convert to fraction form
    461,712/693,906 = 693,906/x
  3. Step 3: Cross multiply
    461,712x = 693,906 × 693,906
  4. Step 4: Simplify right side
    461,712x = 481,505,536,836
  5. Step 5: Solve for x
    x = 481,505,536,836/461,712
  6. Step 6: Final answer
    x = 1,042,869.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.