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Finding the Third Proportional to 414,841.50 and 904,770

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Solution

The third proportional to 414,841.50 and 904,770 is: 1,973,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,841.50 : 904,770 = 904,770 : x
  2. Step 2: Convert to fraction form
    414,841.50/904,770 = 904,770/x
  3. Step 3: Cross multiply
    414,841.50x = 904,770 × 904,770
  4. Step 4: Simplify right side
    414,841.50x = 818,608,752,900
  5. Step 5: Solve for x
    x = 818,608,752,900/414,841.50
  6. Step 6: Final answer
    x = 1,973,304.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.