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Finding the Third Proportional to 404,700 and 874,241

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Solution

The third proportional to 404,700 and 874,241 is: 1,888,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,700 : 874,241 = 874,241 : x
  2. Step 2: Convert to fraction form
    404,700/874,241 = 874,241/x
  3. Step 3: Cross multiply
    404,700x = 874,241 × 874,241
  4. Step 4: Simplify right side
    404,700x = 764,297,326,081
  5. Step 5: Solve for x
    x = 764,297,326,081/404,700
  6. Step 6: Final answer
    x = 1,888,552.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.