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Finding the Third Proportional to 268,397,784 and 587,036,304

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Solution

The third proportional to 268,397,784 and 587,036,304 is: 1,283,958,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,397,784 : 587,036,304 = 587,036,304 : x
  2. Step 2: Convert to fraction form
    268,397,784/587,036,304 = 587,036,304/x
  3. Step 3: Cross multiply
    268,397,784x = 587,036,304 × 587,036,304
  4. Step 4: Simplify right side
    268,397,784x = 344,611,622,213,980,416
  5. Step 5: Solve for x
    x = 344,611,622,213,980,416/268,397,784
  6. Step 6: Final answer
    x = 1,283,958,522.60

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