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Finding the Third Proportional to 461,708 and 693,898

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Solution

The third proportional to 461,708 and 693,898 is: 1,042,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,708 : 693,898 = 693,898 : x
  2. Step 2: Convert to fraction form
    461,708/693,898 = 693,898/x
  3. Step 3: Cross multiply
    461,708x = 693,898 × 693,898
  4. Step 4: Simplify right side
    461,708x = 481,494,434,404
  5. Step 5: Solve for x
    x = 481,494,434,404/461,708
  6. Step 6: Final answer
    x = 1,042,854.87

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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.