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Finding the Third Proportional to 498,366,057 and 773,669,196

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Solution

The third proportional to 498,366,057 and 773,669,196 is: 1,201,052,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,057 : 773,669,196 = 773,669,196 : x
  2. Step 2: Convert to fraction form
    498,366,057/773,669,196 = 773,669,196/x
  3. Step 3: Cross multiply
    498,366,057x = 773,669,196 × 773,669,196
  4. Step 4: Simplify right side
    498,366,057x = 598,564,024,839,286,400
  5. Step 5: Solve for x
    x = 598,564,024,839,286,400/498,366,057
  6. Step 6: Final answer
    x = 1,201,052,953.81

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