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Finding the Third Proportional to 305,633,413.69 and 476,610,420.94

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Solution

The third proportional to 305,633,413.69 and 476,610,420.94 is: 743,235,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,633,413.69 : 476,610,420.94 = 476,610,420.94 : x
  2. Step 2: Convert to fraction form
    305,633,413.69/476,610,420.94 = 476,610,420.94/x
  3. Step 3: Cross multiply
    305,633,413.69x = 476,610,420.94 × 476,610,420.94
  4. Step 4: Simplify right side
    305,633,413.69x = 227,157,493,346,220,928
  5. Step 5: Solve for x
    x = 227,157,493,346,220,928/305,633,413.69
  6. Step 6: Final answer
    x = 743,235,141.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.