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Finding the Third Proportional to 508,614 and 769,467

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Solution

The third proportional to 508,614 and 769,467 is: 1,164,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614 : 769,467 = 769,467 : x
  2. Step 2: Convert to fraction form
    508,614/769,467 = 769,467/x
  3. Step 3: Cross multiply
    508,614x = 769,467 × 769,467
  4. Step 4: Simplify right side
    508,614x = 592,079,464,089
  5. Step 5: Solve for x
    x = 592,079,464,089/508,614
  6. Step 6: Final answer
    x = 1,164,103.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.