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Finding the Third Proportional to 445,777,264 and 675,407,800

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Solution

The third proportional to 445,777,264 and 675,407,800 is: 1,023,326,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,777,264 : 675,407,800 = 675,407,800 : x
  2. Step 2: Convert to fraction form
    445,777,264/675,407,800 = 675,407,800/x
  3. Step 3: Cross multiply
    445,777,264x = 675,407,800 × 675,407,800
  4. Step 4: Simplify right side
    445,777,264x = 456,175,696,300,840,000
  5. Step 5: Solve for x
    x = 456,175,696,300,840,000/445,777,264
  6. Step 6: Final answer
    x = 1,023,326,520.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.