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Finding the Third Proportional to 268,379,685 and 587,007,774

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Solution

The third proportional to 268,379,685 and 587,007,774 is: 1,283,920,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,379,685 : 587,007,774 = 587,007,774 : x
  2. Step 2: Convert to fraction form
    268,379,685/587,007,774 = 587,007,774/x
  3. Step 3: Cross multiply
    268,379,685x = 587,007,774 × 587,007,774
  4. Step 4: Simplify right side
    268,379,685x = 344,578,126,736,435,072
  5. Step 5: Solve for x
    x = 344,578,126,736,435,072/268,379,685
  6. Step 6: Final answer
    x = 1,283,920,303.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.