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Finding the Third Proportional to 240,247,309 and 524,532,049

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Solution

The third proportional to 240,247,309 and 524,532,049 is: 1,145,211,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,247,309 : 524,532,049 = 524,532,049 : x
  2. Step 2: Convert to fraction form
    240,247,309/524,532,049 = 524,532,049/x
  3. Step 3: Cross multiply
    240,247,309x = 524,532,049 × 524,532,049
  4. Step 4: Simplify right side
    240,247,309x = 275,133,870,428,138,400
  5. Step 5: Solve for x
    x = 275,133,870,428,138,400/240,247,309
  6. Step 6: Final answer
    x = 1,145,211,039.30

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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.