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Finding the Third Proportional to 259,974,600 and 570,959,736

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Solution

The third proportional to 259,974,600 and 570,959,736 is: 1,253,949,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,974,600 : 570,959,736 = 570,959,736 : x
  2. Step 2: Convert to fraction form
    259,974,600/570,959,736 = 570,959,736/x
  3. Step 3: Cross multiply
    259,974,600x = 570,959,736 × 570,959,736
  4. Step 4: Simplify right side
    259,974,600x = 325,995,020,133,189,696
  5. Step 5: Solve for x
    x = 325,995,020,133,189,696/259,974,600
  6. Step 6: Final answer
    x = 1,253,949,501.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.