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Finding the Third Proportional to 322,735,185 and 484,433,257.50

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Solution

The third proportional to 322,735,185 and 484,433,257.50 is: 727,145,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,735,185 : 484,433,257.50 = 484,433,257.50 : x
  2. Step 2: Convert to fraction form
    322,735,185/484,433,257.50 = 484,433,257.50/x
  3. Step 3: Cross multiply
    322,735,185x = 484,433,257.50 × 484,433,257.50
  4. Step 4: Simplify right side
    322,735,185x = 234,675,580,972,061,312
  5. Step 5: Solve for x
    x = 234,675,580,972,061,312/322,735,185
  6. Step 6: Final answer
    x = 727,145,944.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.