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Finding the Third Proportional to 498,366,065 and 773,669,208

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Solution

The third proportional to 498,366,065 and 773,669,208 is: 1,201,052,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,065 : 773,669,208 = 773,669,208 : x
  2. Step 2: Convert to fraction form
    498,366,065/773,669,208 = 773,669,208/x
  3. Step 3: Cross multiply
    498,366,065x = 773,669,208 × 773,669,208
  4. Step 4: Simplify right side
    498,366,065x = 598,564,043,407,347,200
  5. Step 5: Solve for x
    x = 598,564,043,407,347,200/498,366,065
  6. Step 6: Final answer
    x = 1,201,052,971.79

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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.