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Finding the Third Proportional to 518,692 and 788,698

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Solution

The third proportional to 518,692 and 788,698 is: 1,199,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,692 : 788,698 = 788,698 : x
  2. Step 2: Convert to fraction form
    518,692/788,698 = 788,698/x
  3. Step 3: Cross multiply
    518,692x = 788,698 × 788,698
  4. Step 4: Simplify right side
    518,692x = 622,044,535,204
  5. Step 5: Solve for x
    x = 622,044,535,204/518,692
  6. Step 6: Final answer
    x = 1,199,256.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.