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Finding the Third Proportional to 268,086,341 and 578,515,918

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Solution

The third proportional to 268,086,341 and 578,515,918 is: 1,248,406,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,086,341 : 578,515,918 = 578,515,918 : x
  2. Step 2: Convert to fraction form
    268,086,341/578,515,918 = 578,515,918/x
  3. Step 3: Cross multiply
    268,086,341x = 578,515,918 × 578,515,918
  4. Step 4: Simplify right side
    268,086,341x = 334,680,667,379,382,720
  5. Step 5: Solve for x
    x = 334,680,667,379,382,720/268,086,341
  6. Step 6: Final answer
    x = 1,248,406,263.93

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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.