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Finding the Third Proportional to 287,357 and 624,453.50

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Solution

The third proportional to 287,357 and 624,453.50 is: 1,356,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,357 : 624,453.50 = 624,453.50 : x
  2. Step 2: Convert to fraction form
    287,357/624,453.50 = 624,453.50/x
  3. Step 3: Cross multiply
    287,357x = 624,453.50 × 624,453.50
  4. Step 4: Simplify right side
    287,357x = 389,942,173,662.25
  5. Step 5: Solve for x
    x = 389,942,173,662.25/287,357
  6. Step 6: Final answer
    x = 1,356,995.56

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