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Finding the Third Proportional to 521,712 and 793,530

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Solution

The third proportional to 521,712 and 793,530 is: 1,206,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,712 : 793,530 = 793,530 : x
  2. Step 2: Convert to fraction form
    521,712/793,530 = 793,530/x
  3. Step 3: Cross multiply
    521,712x = 793,530 × 793,530
  4. Step 4: Simplify right side
    521,712x = 629,689,860,900
  5. Step 5: Solve for x
    x = 629,689,860,900/521,712
  6. Step 6: Final answer
    x = 1,206,968.33

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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.