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Finding the Third Proportional to 286,633,390 and 585,297,680

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Solution

The third proportional to 286,633,390 and 585,297,680 is: 1,195,162,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,633,390 : 585,297,680 = 585,297,680 : x
  2. Step 2: Convert to fraction form
    286,633,390/585,297,680 = 585,297,680/x
  3. Step 3: Cross multiply
    286,633,390x = 585,297,680 × 585,297,680
  4. Step 4: Simplify right side
    286,633,390x = 342,573,374,213,382,400
  5. Step 5: Solve for x
    x = 342,573,374,213,382,400/286,633,390
  6. Step 6: Final answer
    x = 1,195,162,134.51

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.