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Finding the Third Proportional to 260,647,310 and 382,450,341

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Solution

The third proportional to 260,647,310 and 382,450,341 is: 561,173,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,647,310 : 382,450,341 = 382,450,341 : x
  2. Step 2: Convert to fraction form
    260,647,310/382,450,341 = 382,450,341/x
  3. Step 3: Cross multiply
    260,647,310x = 382,450,341 × 382,450,341
  4. Step 4: Simplify right side
    260,647,310x = 146,268,263,331,016,288
  5. Step 5: Solve for x
    x = 146,268,263,331,016,288/260,647,310
  6. Step 6: Final answer
    x = 561,173,116.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.