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Finding the Third Proportional to 260,047,714 and 356,588,601

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Solution

The third proportional to 260,047,714 and 356,588,601 is: 488,969,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047,714 : 356,588,601 = 356,588,601 : x
  2. Step 2: Convert to fraction form
    260,047,714/356,588,601 = 356,588,601/x
  3. Step 3: Cross multiply
    260,047,714x = 356,588,601 × 356,588,601
  4. Step 4: Simplify right side
    260,047,714x = 127,155,430,363,137,200
  5. Step 5: Solve for x
    x = 127,155,430,363,137,200/260,047,714
  6. Step 6: Final answer
    x = 488,969,614.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.