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Finding the Third Proportional to 285,057 and 614,301

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Solution

The third proportional to 285,057 and 614,301 is: 1,323,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,057 : 614,301 = 614,301 : x
  2. Step 2: Convert to fraction form
    285,057/614,301 = 614,301/x
  3. Step 3: Cross multiply
    285,057x = 614,301 × 614,301
  4. Step 4: Simplify right side
    285,057x = 377,365,718,601
  5. Step 5: Solve for x
    x = 377,365,718,601/285,057
  6. Step 6: Final answer
    x = 1,323,825.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.