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Finding the Third Proportional to 271,628,457 and 588,382,177.50

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Solution

The third proportional to 271,628,457 and 588,382,177.50 is: 1,274,511,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,628,457 : 588,382,177.50 = 588,382,177.50 : x
  2. Step 2: Convert to fraction form
    271,628,457/588,382,177.50 = 588,382,177.50/x
  3. Step 3: Cross multiply
    271,628,457x = 588,382,177.50 × 588,382,177.50
  4. Step 4: Simplify right side
    271,628,457x = 346,193,586,799,641,536
  5. Step 5: Solve for x
    x = 346,193,586,799,641,536/271,628,457
  6. Step 6: Final answer
    x = 1,274,511,480.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.