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Finding the Third Proportional to 624,889.50 and 1,362,672.75

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Solution

The third proportional to 624,889.50 and 1,362,672.75 is: 2,971,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,889.50 : 1,362,672.75 = 1,362,672.75 : x
  2. Step 2: Convert to fraction form
    624,889.50/1,362,672.75 = 1,362,672.75/x
  3. Step 3: Cross multiply
    624,889.50x = 1,362,672.75 × 1,362,672.75
  4. Step 4: Simplify right side
    624,889.50x = 1,856,877,023,592.56
  5. Step 5: Solve for x
    x = 1,856,877,023,592.56/624,889.50
  6. Step 6: Final answer
    x = 2,971,528.60

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Why These Related Problems?

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