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Finding the Third Proportional to 624,529.13 and 1,337,563.69

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Solution

The third proportional to 624,529.13 and 1,337,563.69 is: 2,864,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,529.13 : 1,337,563.69 = 1,337,563.69 : x
  2. Step 2: Convert to fraction form
    624,529.13/1,337,563.69 = 1,337,563.69/x
  3. Step 3: Cross multiply
    624,529.13x = 1,337,563.69 × 1,337,563.69
  4. Step 4: Simplify right side
    624,529.13x = 1,789,076,618,118.60
  5. Step 5: Solve for x
    x = 1,789,076,618,118.60/624,529.13
  6. Step 6: Final answer
    x = 2,864,680.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.