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Finding the Third Proportional to 307,396,215 and 475,458,538.50

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Solution

The third proportional to 307,396,215 and 475,458,538.50 is: 735,405,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,215 : 475,458,538.50 = 475,458,538.50 : x
  2. Step 2: Convert to fraction form
    307,396,215/475,458,538.50 = 475,458,538.50/x
  3. Step 3: Cross multiply
    307,396,215x = 475,458,538.50 × 475,458,538.50
  4. Step 4: Simplify right side
    307,396,215x = 226,060,821,832,555,968
  5. Step 5: Solve for x
    x = 226,060,821,832,555,968/307,396,215
  6. Step 6: Final answer
    x = 735,405,352.45

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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.