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Finding the Third Proportional to 401,592.75 and 873,169.50

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Solution

The third proportional to 401,592.75 and 873,169.50 is: 1,898,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,592.75 : 873,169.50 = 873,169.50 : x
  2. Step 2: Convert to fraction form
    401,592.75/873,169.50 = 873,169.50/x
  3. Step 3: Cross multiply
    401,592.75x = 873,169.50 × 873,169.50
  4. Step 4: Simplify right side
    401,592.75x = 762,424,975,730.25
  5. Step 5: Solve for x
    x = 762,424,975,730.25/401,592.75
  6. Step 6: Final answer
    x = 1,898,502.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.