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Finding the Third Proportional to 498,713 and 771,450.50

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Solution

The third proportional to 498,713 and 771,450.50 is: 1,193,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,713 : 771,450.50 = 771,450.50 : x
  2. Step 2: Convert to fraction form
    498,713/771,450.50 = 771,450.50/x
  3. Step 3: Cross multiply
    498,713x = 771,450.50 × 771,450.50
  4. Step 4: Simplify right side
    498,713x = 595,135,873,950.25
  5. Step 5: Solve for x
    x = 595,135,873,950.25/498,713
  6. Step 6: Final answer
    x = 1,193,343.41

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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.