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Finding the Third Proportional to 498,366,045 and 773,669,178

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Solution

The third proportional to 498,366,045 and 773,669,178 is: 1,201,052,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,366,045 : 773,669,178 = 773,669,178 : x
  2. Step 2: Convert to fraction form
    498,366,045/773,669,178 = 773,669,178/x
  3. Step 3: Cross multiply
    498,366,045x = 773,669,178 × 773,669,178
  4. Step 4: Simplify right side
    498,366,045x = 598,563,996,987,195,648
  5. Step 5: Solve for x
    x = 598,563,996,987,195,648/498,366,045
  6. Step 6: Final answer
    x = 1,201,052,926.84

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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.