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Finding the Third Proportional to 498,772 and 773,888

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Solution

The third proportional to 498,772 and 773,888 is: 1,200,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,772 : 773,888 = 773,888 : x
  2. Step 2: Convert to fraction form
    498,772/773,888 = 773,888/x
  3. Step 3: Cross multiply
    498,772x = 773,888 × 773,888
  4. Step 4: Simplify right side
    498,772x = 598,902,636,544
  5. Step 5: Solve for x
    x = 598,902,636,544/498,772
  6. Step 6: Final answer
    x = 1,200,754.33

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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.