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Finding the Third Proportional to 404,952.75 and 874,848.75

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Solution

The third proportional to 404,952.75 and 874,848.75 is: 1,889,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,952.75 : 874,848.75 = 874,848.75 : x
  2. Step 2: Convert to fraction form
    404,952.75/874,848.75 = 874,848.75/x
  3. Step 3: Cross multiply
    404,952.75x = 874,848.75 × 874,848.75
  4. Step 4: Simplify right side
    404,952.75x = 765,360,335,376.56
  5. Step 5: Solve for x
    x = 765,360,335,376.56/404,952.75
  6. Step 6: Final answer
    x = 1,889,999.11

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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.