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Finding the Third Proportional to 486,375.75 and 776,990.25

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Solution

The third proportional to 486,375.75 and 776,990.25 is: 1,241,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,375.75 : 776,990.25 = 776,990.25 : x
  2. Step 2: Convert to fraction form
    486,375.75/776,990.25 = 776,990.25/x
  3. Step 3: Cross multiply
    486,375.75x = 776,990.25 × 776,990.25
  4. Step 4: Simplify right side
    486,375.75x = 603,713,848,595.06
  5. Step 5: Solve for x
    x = 603,713,848,595.06/486,375.75
  6. Step 6: Final answer
    x = 1,241,249.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.