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Finding the Third Proportional to 517,212 and 794,799

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Solution

The third proportional to 517,212 and 794,799 is: 1,221,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,212 : 794,799 = 794,799 : x
  2. Step 2: Convert to fraction form
    517,212/794,799 = 794,799/x
  3. Step 3: Cross multiply
    517,212x = 794,799 × 794,799
  4. Step 4: Simplify right side
    517,212x = 631,705,450,401
  5. Step 5: Solve for x
    x = 631,705,450,401/517,212
  6. Step 6: Final answer
    x = 1,221,366.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.