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Finding the Third Proportional to 268,379,681 and 587,007,766

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Solution

The third proportional to 268,379,681 and 587,007,766 is: 1,283,920,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,379,681 : 587,007,766 = 587,007,766 : x
  2. Step 2: Convert to fraction form
    268,379,681/587,007,766 = 587,007,766/x
  3. Step 3: Cross multiply
    268,379,681x = 587,007,766 × 587,007,766
  4. Step 4: Simplify right side
    268,379,681x = 344,578,117,344,310,784
  5. Step 5: Solve for x
    x = 344,578,117,344,310,784/268,379,681
  6. Step 6: Final answer
    x = 1,283,920,288.08

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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.