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Finding the Third Proportional to 260,913,351 and 559,175,640

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Solution

The third proportional to 260,913,351 and 559,175,640 is: 1,198,395,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,351 : 559,175,640 = 559,175,640 : x
  2. Step 2: Convert to fraction form
    260,913,351/559,175,640 = 559,175,640/x
  3. Step 3: Cross multiply
    260,913,351x = 559,175,640 × 559,175,640
  4. Step 4: Simplify right side
    260,913,351x = 312,677,396,369,409,600
  5. Step 5: Solve for x
    x = 312,677,396,369,409,600/260,913,351
  6. Step 6: Final answer
    x = 1,198,395,540.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.