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Finding the Third Proportional to 405,846,474 and 627,407,089.50

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Solution

The third proportional to 405,846,474 and 627,407,089.50 is: 969,922,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846,474 : 627,407,089.50 = 627,407,089.50 : x
  2. Step 2: Convert to fraction form
    405,846,474/627,407,089.50 = 627,407,089.50/x
  3. Step 3: Cross multiply
    405,846,474x = 627,407,089.50 × 627,407,089.50
  4. Step 4: Simplify right side
    405,846,474x = 393,639,655,954,860,992
  5. Step 5: Solve for x
    x = 393,639,655,954,860,992/405,846,474
  6. Step 6: Final answer
    x = 969,922,572.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.