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Finding the Third Proportional to 285,824 and 620,860

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Solution

The third proportional to 285,824 and 620,860 is: 1,348,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,824 : 620,860 = 620,860 : x
  2. Step 2: Convert to fraction form
    285,824/620,860 = 620,860/x
  3. Step 3: Cross multiply
    285,824x = 620,860 × 620,860
  4. Step 4: Simplify right side
    285,824x = 385,467,139,600
  5. Step 5: Solve for x
    x = 385,467,139,600/285,824
  6. Step 6: Final answer
    x = 1,348,617.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.