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Finding the Third Proportional to 268,086,339 and 578,515,914

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Solution

The third proportional to 268,086,339 and 578,515,914 is: 1,248,406,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,086,339 : 578,515,914 = 578,515,914 : x
  2. Step 2: Convert to fraction form
    268,086,339/578,515,914 = 578,515,914/x
  3. Step 3: Cross multiply
    268,086,339x = 578,515,914 × 578,515,914
  4. Step 4: Simplify right side
    268,086,339x = 334,680,662,751,255,424
  5. Step 5: Solve for x
    x = 334,680,662,751,255,424/268,086,339
  6. Step 6: Final answer
    x = 1,248,406,255.98

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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.