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Finding the Third Proportional to 261,524,379 and 550,152,978

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Solution

The third proportional to 261,524,379 and 550,152,978 is: 1,157,323,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,524,379 : 550,152,978 = 550,152,978 : x
  2. Step 2: Convert to fraction form
    261,524,379/550,152,978 = 550,152,978/x
  3. Step 3: Cross multiply
    261,524,379x = 550,152,978 × 550,152,978
  4. Step 4: Simplify right side
    261,524,379x = 302,668,299,202,268,480
  5. Step 5: Solve for x
    x = 302,668,299,202,268,480/261,524,379
  6. Step 6: Final answer
    x = 1,157,323,460.09

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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.