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Finding the Third Proportional to 260,059,275 and 381,467,632.50

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Solution

The third proportional to 260,059,275 and 381,467,632.50 is: 559,555,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,059,275 : 381,467,632.50 = 381,467,632.50 : x
  2. Step 2: Convert to fraction form
    260,059,275/381,467,632.50 = 381,467,632.50/x
  3. Step 3: Cross multiply
    260,059,275x = 381,467,632.50 × 381,467,632.50
  4. Step 4: Simplify right side
    260,059,275x = 145,517,554,645,155,072
  5. Step 5: Solve for x
    x = 145,517,554,645,155,072/260,059,275
  6. Step 6: Final answer
    x = 559,555,334.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.