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Finding the Third Proportional to 260,047,713 and 356,588,599

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Solution

The third proportional to 260,047,713 and 356,588,599 is: 488,969,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047,713 : 356,588,599 = 356,588,599 : x
  2. Step 2: Convert to fraction form
    260,047,713/356,588,599 = 356,588,599/x
  3. Step 3: Cross multiply
    260,047,713x = 356,588,599 × 356,588,599
  4. Step 4: Simplify right side
    260,047,713x = 127,155,428,936,782,800
  5. Step 5: Solve for x
    x = 127,155,428,936,782,800/260,047,713
  6. Step 6: Final answer
    x = 488,969,610.50

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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.