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Finding the Third Proportional to 498,366,049 and 773,669,184

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Solution

The third proportional to 498,366,049 and 773,669,184 is: 1,201,052,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,049 : 773,669,184 = 773,669,184 : x
  2. Step 2: Convert to fraction form
    498,366,049/773,669,184 = 773,669,184/x
  3. Step 3: Cross multiply
    498,366,049x = 773,669,184 × 773,669,184
  4. Step 4: Simplify right side
    498,366,049x = 598,564,006,271,225,856
  5. Step 5: Solve for x
    x = 598,564,006,271,225,856/498,366,049
  6. Step 6: Final answer
    x = 1,201,052,935.83

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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.