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Finding the Third Proportional to 245,605 and 515,978

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Solution

The third proportional to 245,605 and 515,978 is: 1,083,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,605 : 515,978 = 515,978 : x
  2. Step 2: Convert to fraction form
    245,605/515,978 = 515,978/x
  3. Step 3: Cross multiply
    245,605x = 515,978 × 515,978
  4. Step 4: Simplify right side
    245,605x = 266,233,296,484
  5. Step 5: Solve for x
    x = 266,233,296,484/245,605
  6. Step 6: Final answer
    x = 1,083,989.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.