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Finding the Third Proportional to 515,032 and 795,894

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Solution

The third proportional to 515,032 and 795,894 is: 1,229,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,032 : 795,894 = 795,894 : x
  2. Step 2: Convert to fraction form
    515,032/795,894 = 795,894/x
  3. Step 3: Cross multiply
    515,032x = 795,894 × 795,894
  4. Step 4: Simplify right side
    515,032x = 633,447,259,236
  5. Step 5: Solve for x
    x = 633,447,259,236/515,032
  6. Step 6: Final answer
    x = 1,229,918.26

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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.