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Finding the Third Proportional to 240,247,305 and 524,532,041

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Solution

The third proportional to 240,247,305 and 524,532,041 is: 1,145,211,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,247,305 : 524,532,041 = 524,532,041 : x
  2. Step 2: Convert to fraction form
    240,247,305/524,532,041 = 524,532,041/x
  3. Step 3: Cross multiply
    240,247,305x = 524,532,041 × 524,532,041
  4. Step 4: Simplify right side
    240,247,305x = 275,133,862,035,625,696
  5. Step 5: Solve for x
    x = 275,133,862,035,625,696/240,247,305
  6. Step 6: Final answer
    x = 1,145,211,023.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.