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Finding the Third Proportional to 514,514 and 795,099

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Solution

The third proportional to 514,514 and 795,099 is: 1,228,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,514 : 795,099 = 795,099 : x
  2. Step 2: Convert to fraction form
    514,514/795,099 = 795,099/x
  3. Step 3: Cross multiply
    514,514x = 795,099 × 795,099
  4. Step 4: Simplify right side
    514,514x = 632,182,419,801
  5. Step 5: Solve for x
    x = 632,182,419,801/514,514
  6. Step 6: Final answer
    x = 1,228,698.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.